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116472924 = 223310710079
BaseRepresentation
bin1101111000100…
…11110001011100
322010011102211000
412330103301130
5214304113144
615320230300
72613001131
oct674236134
9263142730
10116472924
115a822917
123300b390
131b1906b9
141167c588
15a35a769
hex6f13c5c

116472924 has 48 divisors (see below), whose sum is σ = 304819200. Its totient is φ = 38457648.

The previous prime is 116472919. The next prime is 116472949. The reversal of 116472924 is 429274611.

It is a happy number.

116472924 is a `hidden beast` number, since 1 + 1 + 647 + 2 + 9 + 2 + 4 = 666.

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

It is a congruent number.

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, 6517 + ... + 16595.

It is an arithmetic number, because the mean of its divisors is an integer number (6350400).

Almost surely, 2116472924 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 116472924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

116472924 is an abundant number, since it is smaller than the sum of its proper divisors (188346276).

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

116472924 is a wasteful number, since it uses less digits than its factorization.

116472924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10199 (or 10191 counting only the distinct ones).

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

The square root of 116472924 is about 10792.2622280966. The cubic root of 116472924 is about 488.3617703960.

It can be divided in two parts, 1164 and 72924, that added together give a cube (74088 = 423).

The spelling of 116472924 in words is "one hundred sixteen million, four hundred seventy-two thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 642 963 1284 1926 2889 3852 5778 10079 11556 20158 30237 40316 60474 90711 120948 181422 272133 362844 544266 1078453 1088532 2156906 3235359 4313812 6470718 9706077 12941436 19412154 29118231 38824308 58236462 116472924