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116604576 = 25331112269
BaseRepresentation
bin1101111001100…
…11111010100000
322010102010102000
412330303322200
5214322321301
615323124000
72614060014
oct674637240
9263363360
10116604576
115a902820
1233073600
131b2085ba
14116b4544
15a384786
hex6f33ea0

116604576 has 96 divisors (see below), whose sum is σ = 371044800. Its totient is φ = 35331840.

The previous prime is 116604559. The next prime is 116604583. The reversal of 116604576 is 675406611.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 116604576.

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, 3370 + ... + 15638.

It is an arithmetic number, because the mean of its divisors is an integer number (3865050).

Almost surely, 2116604576 is an apocalyptic number.

116604576 is a gapful number since it is divisible by the number (16) 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 116604576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185522400).

116604576 is an abundant number, since it is smaller than the sum of its proper divisors (254440224).

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

116604576 is a wasteful number, since it uses less digits than its factorization.

116604576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12299 (or 12285 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 116604576 is about 10798.3598754626. The cubic root of 116604576 is about 488.5457032579.

The spelling of 116604576 in words is "one hundred sixteen million, six hundred four thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 12269 24538 36807 49076 73614 98152 110421 134959 147228 196304 220842 269918 294456 331263 392608 404877 441684 539836 588912 662526 809754 883368 1079672 1177824 1214631 1325052 1619508 1766736 2159344 2429262 2650104 3239016 3533472 3643893 4318688 4858524 5300208 6478032 7287786 9717048 10600416 12956064 14575572 19434096 29151144 38868192 58302288 116604576