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116644104 = 23331633313
BaseRepresentation
bin1101111001111…
…01100100001000
322010111010122000
412330331210020
5214330102404
615324031000
72614313163
oct674754410
9263433560
10116644104
115a92a495
1233092460
131b2205a5
14116c4ada
15a391339
hex6f3d908

116644104 has 64 divisors (see below), whose sum is σ = 326097600. Its totient is φ = 38631168.

The previous prime is 116644067. The next prime is 116644141. The reversal of 116644104 is 401446611.

116644104 is a `hidden beast` number, since 1 + 1 + 6 + 644 + 10 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (116644067) and next prime (116644141).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 33552 + ... + 36864.

It is an arithmetic number, because the mean of its divisors is an integer number (5095275).

Almost surely, 2116644104 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 116644104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163048800).

116644104 is an abundant number, since it is smaller than the sum of its proper divisors (209453496).

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

116644104 is a wasteful number, since it uses less digits than its factorization.

116644104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 116644104 is about 10800.1899983287. The cubic root of 116644104 is about 488.6009013571.

The spelling of 116644104 in words is "one hundred sixteen million, six hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 163 216 326 489 652 978 1304 1467 1956 2934 3313 3912 4401 5868 6626 8802 9939 11736 13252 17604 19878 26504 29817 35208 39756 59634 79512 89451 119268 178902 238536 357804 540019 715608 1080038 1620057 2160076 3240114 4320152 4860171 6480228 9720342 12960456 14580513 19440684 29161026 38881368 58322052 116644104