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113268320 = 25511139463
BaseRepresentation
bin1101100000001…
…01011001100000
321220010121220222
412300011121200
5212444041240
615123422212
72543523224
oct660053140
9256117828
10113268320
1158a34190
1231b24968
131a60ab99
1411086784
159e25eb5
hex6c05660

113268320 has 96 divisors (see below), whose sum is σ = 294658560. Its totient is φ = 40803840.

The previous prime is 113268293. The next prime is 113268341. The reversal of 113268320 is 23862311.

It is a self number, because there is not a number n which added to its sum of digits gives 113268320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 244409 + ... + 244871.

It is an arithmetic number, because the mean of its divisors is an integer number (3069360).

Almost surely, 2113268320 is an apocalyptic number.

113268320 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 113268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147329280).

113268320 is an abundant number, since it is smaller than the sum of its proper divisors (181390240).

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

113268320 is a wasteful number, since it uses less digits than its factorization.

113268320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 113268320 is about 10642.7590407751. The cubic root of 113268320 is about 483.8411700226.

The spelling of 113268320 in words is "one hundred thirteen million, two hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 139 160 176 220 278 352 440 463 556 695 880 926 1112 1390 1529 1760 1852 2224 2315 2780 3058 3704 4448 4630 5093 5560 6116 7408 7645 9260 10186 11120 12232 14816 15290 18520 20372 22240 24464 25465 30580 37040 40744 48928 50930 61160 64357 74080 81488 101860 122320 128714 162976 203720 244640 257428 321785 407440 514856 643570 707927 814880 1029712 1287140 1415854 2059424 2574280 2831708 3539635 5148560 5663416 7079270 10297120 11326832 14158540 22653664 28317080 56634160 113268320