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113304320 = 2851741127
BaseRepresentation
bin1101100000011…
…10001100000000
321220012110022022
412300032030000
5213001214240
615124301012
72544033203
oct660161400
9256173268
10113304320
1158a59238
1231b41768
131a62139c
141109593a
159e319b5
hex6c0e300

113304320 has 144 divisors (see below), whose sum is σ = 296690688. Its totient is φ = 41287680.

The previous prime is 113304311. The next prime is 113304329. The reversal of 113304320 is 23403311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113304311) and next prime (113304329).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (113304329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 892097 + ... + 892223.

It is an arithmetic number, because the mean of its divisors is an integer number (2060352).

Almost surely, 2113304320 is an apocalyptic number.

113304320 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 113304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148345344).

113304320 is an abundant number, since it is smaller than the sum of its proper divisors (183386368).

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

113304320 is a wasteful number, since it uses less digits than its factorization.

113304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 113304320 is about 10644.4501971685. The cubic root of 113304320 is about 483.8924242395.

Adding to 113304320 its reverse (23403311), we get a palindrome (136707631).

The spelling of 113304320 in words is "one hundred thirteen million, three hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 41 64 68 80 82 85 127 128 136 160 164 170 205 254 256 272 320 328 340 410 508 544 635 640 656 680 697 820 1016 1088 1270 1280 1312 1360 1394 1640 2032 2159 2176 2540 2624 2720 2788 3280 3485 4064 4318 4352 5080 5207 5248 5440 5576 6560 6970 8128 8636 10160 10414 10496 10795 10880 11152 13120 13940 16256 17272 20320 20828 21590 21760 22304 26035 26240 27880 32512 34544 40640 41656 43180 44608 52070 52480 55760 69088 81280 83312 86360 88519 89216 104140 111520 138176 162560 166624 172720 177038 178432 208280 223040 276352 333248 345440 354076 416560 442595 446080 552704 666496 690880 708152 833120 885190 892160 1332992 1381760 1416304 1666240 1770380 2763520 2832608 3332480 3540760 5665216 6664960 7081520 11330432 14163040 22660864 28326080 56652160 113304320