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11120320 = 265193159
BaseRepresentation
bin101010011010…
…111011000000
3202220222012201
4222122323000
510321322240
61034202544
7163343521
oct52327300
922828181
1011120320
116305952
123883454
1323c4793
141696848
15e99d9a
hexa9aec0

11120320 has 112 divisors (see below), whose sum is σ = 29260800. Its totient is φ = 4008960.

The previous prime is 11120299. The next prime is 11120321. The reversal of 11120320 is 2302111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11120297 and 11120306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120321) 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 15 ways as a sum of consecutive naturals, for example, 188451 + ... + 188509.

Almost surely, 211120320 is an apocalyptic number.

11120320 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 11120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14630400).

11120320 is an abundant number, since it is smaller than the sum of its proper divisors (18140480).

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

11120320 is a wasteful number, since it uses less digits than its factorization.

11120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 11120320 is about 3334.7143805729. The cubic root of 11120320 is about 223.2059470073.

Adding to 11120320 its reverse (2302111), we get a palindrome (13422431).

The spelling of 11120320 in words is "eleven million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 31 32 38 40 59 62 64 76 80 95 118 124 152 155 160 190 236 248 295 304 310 320 380 472 496 589 590 608 620 760 944 992 1121 1178 1180 1216 1240 1520 1829 1888 1984 2242 2356 2360 2480 2945 3040 3658 3776 4484 4712 4720 4960 5605 5890 6080 7316 8968 9145 9424 9440 9920 11210 11780 14632 17936 18290 18848 18880 22420 23560 29264 34751 35872 36580 37696 44840 47120 58528 69502 71744 73160 89680 94240 117056 139004 146320 173755 179360 188480 278008 292640 347510 358720 556016 585280 695020 1112032 1390040 2224064 2780080 5560160 11120320