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116605944 = 23327132372
BaseRepresentation
bin1101111001101…
…00001111111000
322010102012021200
412330310033320
5214322342234
615323134200
72614064010
oct674641770
9263365250
10116605944
115a903854
1233074360
131b209100
14116b4c40
15a384d99
hex6f343f8

116605944 has 216 divisors, whose sum is σ = 401670360. Its totient is φ = 29922048.

The previous prime is 116605933. The next prime is 116605967. The reversal of 116605944 is 449506611.

116605944 is a `hidden beast` number, since 1 + 1 + 6 + 60 + 594 + 4 = 666.

It is a super-2 number, since 2×1166059442 = 27193892352262272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 116605899 and 116605908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3151494 + ... + 3151530.

It is an arithmetic number, because the mean of its divisors is an integer number (1859585).

Almost surely, 2116605944 is an apocalyptic number.

116605944 is a gapful number since it is divisible by the number (14) 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 116605944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200835180).

116605944 is an abundant number, since it is smaller than the sum of its proper divisors (285064416).

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

116605944 is a wasteful number, since it uses less digits than its factorization.

116605944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 116605944 is about 10798.4232182296. The cubic root of 116605944 is about 488.5476137830.

The spelling of 116605944 in words is "one hundred sixteen million, six hundred five thousand, nine hundred forty-four".