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116285400 = 233252711839
BaseRepresentation
bin1101110111001…
…01111111011000
322002210220120200
412323211333120
5214232113100
615312222200
72611260330
oct673457730
9262726520
10116285400
115a704a40
1232b3a960
131b12623a
14116300c0
15a31ee00
hex6ee5fd8

116285400 has 288 divisors, whose sum is σ = 487468800. Its totient is φ = 24134400.

The previous prime is 116285399. The next prime is 116285417. The reversal of 116285400 is 4582611.

116285400 is a `hidden beast` number, since 116 + 2 + 8 + 540 + 0 = 666.

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, 138181 + ... + 139019.

It is an arithmetic number, because the mean of its divisors is an integer number (1692600).

Almost surely, 2116285400 is an apocalyptic number.

116285400 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 116285400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400).

116285400 is an abundant number, since it is smaller than the sum of its proper divisors (371183400).

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

116285400 is a wasteful number, since it uses less digits than its factorization.

116285400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 116285400 is about 10783.5708371578. The cubic root of 116285400 is about 488.0995385059.

The spelling of 116285400 in words is "one hundred sixteen million, two hundred eighty-five thousand, four hundred".