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115125504 = 283132887
BaseRepresentation
bin1101101110010…
…10110100000000
322000121222111120
412313022310000
5213433004004
615231312240
72565356604
oct667126400
9260558446
10115125504
1159a9254a
123267b680
131ab0b300
141140b504
15a1913d9
hex6dcad00

115125504 has 108 divisors (see below), whose sum is σ = 332158176. Its totient is φ = 35383296.

The previous prime is 115125467. The next prime is 115125509. The reversal of 115125504 is 405521511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115125509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 129349 + ... + 130235.

Almost surely, 2115125504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115125504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166079088).

115125504 is an abundant number, since it is smaller than the sum of its proper divisors (217032672).

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

115125504 is an equidigital number, since it uses as much as digits as its factorization.

115125504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 115125504 is about 10729.6553532721. The cubic root of 115125504 is about 486.4712528350.

The spelling of 115125504 in words is "one hundred fifteen million, one hundred twenty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 256 312 338 384 416 507 624 676 768 832 887 1014 1248 1352 1664 1774 2028 2496 2661 2704 3328 3548 4056 4992 5322 5408 7096 8112 9984 10644 10816 11531 14192 16224 21288 21632 23062 28384 32448 34593 42576 43264 46124 56768 64896 69186 85152 92248 113536 129792 138372 149903 170304 184496 227072 276744 299806 340608 368992 449709 553488 599612 681216 737984 899418 1106976 1199224 1475968 1798836 2213952 2398448 2951936 3597672 4427904 4796896 7195344 8855808 9593792 14390688 19187584 28781376 38375168 57562752 115125504