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116704638 = 235439547
BaseRepresentation
bin1101111010011…
…00010101111110
322010121012200000
412331030111332
5214334022023
615325215130
72614654521
oct675142576
9263535600
10116704638
115a970a16
12331014a6
131b241ccb
14116dcbb8
15a3a4243
hex6f4c57e

116704638 has 48 divisors (see below), whose sum is σ = 263303040. Its totient is φ = 38741976.

The previous prime is 116704633. The next prime is 116704657. The reversal of 116704638 is 836407611.

116704638 is a `hidden beast` number, since 1 + 16 + 7 + 0 + 4 + 638 = 666.

It is a super-2 number, since 2×1167046382 = 27239945061422088, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116704633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213081 + ... + 213627.

It is an arithmetic number, because the mean of its divisors is an integer number (5485480).

Almost surely, 2116704638 is an apocalyptic number.

116704638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 116704638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131651520).

116704638 is an abundant number, since it is smaller than the sum of its proper divisors (146598402).

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

116704638 is an equidigital number, since it uses as much as digits as its factorization.

116704638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 116704638 is about 10802.9920855289. The cubic root of 116704638 is about 488.6854087060.

The spelling of 116704638 in words is "one hundred sixteen million, seven hundred four thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 439 486 547 878 1094 1317 1641 2634 3282 3951 4923 7902 9846 11853 14769 23706 29538 35559 44307 71118 88614 106677 132921 213354 240133 265842 480266 720399 1440798 2161197 4322394 6483591 12967182 19450773 38901546 58352319 116704638