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1112550320 = 245719313373
BaseRepresentation
bin100001001010000…
…0010101110110000
32212112110102010102
41002110002232300
54234303102240
6302221451532
736366343640
oct10224025660
92775412112
101112550320
11521007582
12270710ba8
131496562cb
14a7a88520
1567a14815
hex42502bb0

1112550320 has 160 divisors (see below), whose sum is σ = 3213127680. Its totient is φ = 349608960.

The previous prime is 1112550317. The next prime is 1112550323. The reversal of 1112550320 is 230552111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1112550317) and next prime (1112550323).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1112550292 and 1112550301.

It is not an unprimeable number, because it can be changed into a prime (1112550323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328154 + ... + 331526.

It is an arithmetic number, because the mean of its divisors is an integer number (20082048).

Almost surely, 21112550320 is an apocalyptic number.

1112550320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112550320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606563840).

1112550320 is an abundant number, since it is smaller than the sum of its proper divisors (2100577360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1112550320 is a wasteful number, since it uses less digits than its factorization.

1112550320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3443 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 1112550320 is about 33354.9144804780. The cubic root of 1112550320 is about 1036.1911713720.

It can be divided in two parts, 11125503 and 20, that multiplied together give a triangular number (222510060 = T21095).

The spelling of 1112550320 in words is "one billion, one hundred twelve million, five hundred fifty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 31 35 38 40 56 62 70 76 80 95 112 124 133 140 152 155 190 217 248 266 280 304 310 380 434 496 532 560 589 620 665 760 868 1064 1085 1178 1240 1330 1520 1736 2128 2170 2356 2480 2660 2945 3373 3472 4123 4340 4712 5320 5890 6746 8246 8680 9424 10640 11780 13492 16492 16865 17360 20615 23560 23611 26984 32984 33730 41230 47120 47222 53968 64087 65968 67460 82460 94444 104563 118055 128174 134920 164920 188888 209126 236110 256348 269840 320435 329840 377776 418252 448609 472220 512696 522815 640870 731941 836504 897218 944440 1025392 1045630 1281740 1463882 1673008 1794436 1888880 1986697 2091260 2243045 2563480 2927764 3588872 3659705 3973394 4182520 4486090 5126960 5855528 7177744 7319410 7946788 8365040 8972180 9933485 11711056 13906879 14638820 15893576 17944360 19866970 27813758 29277640 31787152 35888720 39733940 55627516 58555280 69534395 79467880 111255032 139068790 158935760 222510064 278137580 556275160 1112550320