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116478900 = 2232521723331
BaseRepresentation
bin1101111000101…
…01001110110100
322010011202000100
412330111032310
5214304311100
615320314100
72613024426
oct674251664
9263152010
10116478900
115a82735a
1233012930
131b193335
1411680816
15a35c400
hex6f153b4

116478900 has 216 divisors, whose sum is σ = 404599104. Its totient is φ = 27878400.

The previous prime is 116478893. The next prime is 116478913. The reversal of 116478900 is 9874611.

116478900 is a `hidden beast` number, since 1 + 1 + 647 + 8 + 9 + 0 + 0 = 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 71 ways as a sum of consecutive naturals, for example, 351735 + ... + 352065.

It is an arithmetic number, because the mean of its divisors is an integer number (1873144).

Almost surely, 2116478900 is an apocalyptic number.

116478900 is a gapful number since it is divisible by the number (10) 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 116478900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202299552).

116478900 is an abundant number, since it is smaller than the sum of its proper divisors (288120204).

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

116478900 is a wasteful number, since it uses less digits than its factorization.

116478900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 116478900 is about 10792.5390895748. The cubic root of 116478900 is about 488.3701225518.

The spelling of 116478900 in words is "one hundred sixteen million, four hundred seventy-eight thousand, nine hundred".