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116801568 = 25331310399
BaseRepresentation
bin1101111011001…
…00000000100000
322010210010122000
412331210000200
5214400122233
615331244000
72615540232
oct675440040
9263703560
10116801568
115aa27824
1233149600
131b277170
1411726252
15a3c2d13
hex6f64020

116801568 has 96 divisors (see below), whose sum is σ = 366912000. Its totient is φ = 35935488.

The previous prime is 116801557. The next prime is 116801591. The reversal of 116801568 is 865108611.

116801568 is a `hidden beast` number, since 1 + 16 + 80 + 1 + 568 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6033 + ... + 16431.

It is an arithmetic number, because the mean of its divisors is an integer number (3822000).

Almost surely, 2116801568 is an apocalyptic number.

116801568 is a gapful number since it is divisible by the number (18) 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 116801568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183456000).

116801568 is an abundant number, since it is smaller than the sum of its proper divisors (250110432).

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

116801568 is a wasteful number, since it uses less digits than its factorization.

116801568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10431 (or 10417 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 116801568 is about 10807.4774114962. The cubic root of 116801568 is about 488.8206651662.

The spelling of 116801568 in words is "one hundred sixteen million, eight hundred one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 10399 11232 20798 31197 41596 62394 83192 93591 124788 135187 166384 187182 249576 270374 280773 332768 374364 405561 499152 540748 561546 748728 811122 998304 1081496 1123092 1216683 1497456 1622244 2162992 2246184 2433366 2994912 3244488 3650049 4325984 4492368 4866732 6488976 7300098 8984736 9733464 12977952 14600196 19466928 29200392 38933856 58400784 116801568