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116789400 = 2332527132331
BaseRepresentation
bin1101111011000…
…01000010011000
322010202111221100
412331201002120
5214344230100
615331111400
72615456610
oct675410230
9263674840
10116789400
115aa19672
1233142560
131b271770
1411721a40
15a3be400
hex6f61098

116789400 has 576 divisors, whose sum is σ = 519966720. Its totient is φ = 22809600.

The previous prime is 116789381. The next prime is 116789411. The reversal of 116789400 is 4987611.

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 143 ways as a sum of consecutive naturals, for example, 3767385 + ... + 3767415.

It is an arithmetic number, because the mean of its divisors is an integer number (902720).

Almost surely, 2116789400 is an apocalyptic number.

116789400 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 116789400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259983360).

116789400 is an abundant number, since it is smaller than the sum of its proper divisors (403177320).

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

116789400 is a wasteful number, since it uses less digits than its factorization.

116789400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 84 counting only the distinct ones).

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

The square root of 116789400 is about 10806.9144532563. The cubic root of 116789400 is about 488.8036900048.

The spelling of 116789400 in words is "one hundred sixteen million, seven hundred eighty-nine thousand, four hundred".