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115697472 = 26311291889
BaseRepresentation
bin1101110010101…
…10011101000000
322001201001002120
412321112131000
5214104304342
615251444240
72603261262
oct671263500
9261631076
10115697472
115a343250
12328b6680
131ac7b757
1411519b32
15a255aec
hex6e56740

115697472 has 112 divisors (see below), whose sum is σ = 345643200. Its totient is φ = 33832960.

The previous prime is 115697471. The next prime is 115697473. The reversal of 115697472 is 274796511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (115697471) and next prime (115697473).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115697471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60304 + ... + 62192.

It is an arithmetic number, because the mean of its divisors is an integer number (3086100).

Almost surely, 2115697472 is an apocalyptic number.

115697472 is a gapful number since it is divisible by the number (12) 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 115697472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172821600).

115697472 is an abundant number, since it is smaller than the sum of its proper divisors (229945728).

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

115697472 is a wasteful number, since it uses less digits than its factorization.

115697472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1934 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 115697472 is about 10756.2759354713. The cubic root of 115697472 is about 487.2755532215.

The spelling of 115697472 in words is "one hundred fifteen million, six hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 132 174 176 192 232 264 319 348 352 464 528 638 696 704 928 957 1056 1276 1392 1856 1889 1914 2112 2552 2784 3778 3828 5104 5568 5667 7556 7656 10208 11334 15112 15312 20416 20779 22668 30224 30624 41558 45336 54781 60448 61248 62337 83116 90672 109562 120896 124674 164343 166232 181344 219124 249348 328686 332464 362688 438248 498696 602591 657372 664928 876496 997392 1205182 1314744 1329856 1752992 1807773 1994784 2410364 2629488 3505984 3615546 3989568 4820728 5258976 7231092 9641456 10517952 14462184 19282912 28924368 38565824 57848736 115697472