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116526432 = 25311176491
BaseRepresentation
bin1101111001000…
…00110101100000
322010021011012210
412330200311200
5214312321212
615321322120
72613313131
oct674406540
9263234183
10116526432
115a85a040
1233036340
131b1abb69
1411693c88
15a36b53c
hex6f20d60

116526432 has 96 divisors (see below), whose sum is σ = 353372544. Its totient is φ = 33228800.

The previous prime is 116526367. The next prime is 116526433. The reversal of 116526432 is 234625611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 116526432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116526433) 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, 14707 + ... + 21197.

It is an arithmetic number, because the mean of its divisors is an integer number (3680964).

Almost surely, 2116526432 is an apocalyptic number.

116526432 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 116526432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176686272).

116526432 is an abundant number, since it is smaller than the sum of its proper divisors (236846112).

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

116526432 is a wasteful number, since it uses less digits than its factorization.

116526432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6532 (or 6524 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 116526432 is about 10794.7409417735. The cubic root of 116526432 is about 488.4365438859.

The spelling of 116526432 in words is "one hundred sixteen million, five hundred twenty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 6491 8976 12982 17952 19473 25964 38946 51928 71401 77892 103856 110347 142802 155784 207712 214203 220694 285604 311568 331041 428406 441388 571208 623136 662082 856812 882776 1142416 1213817 1324164 1713624 1765552 2284832 2427634 2648328 3427248 3531104 3641451 4855268 5296656 6854496 7282902 9710536 10593312 14565804 19421072 29131608 38842144 58263216 116526432