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116282880 = 2932572103
BaseRepresentation
bin1101110111001…
…01011000000000
322002210210010100
412323211120000
5214232023010
615312202400
72611250100
oct673453000
9262723110
10116282880
115a70305a
1232b39400
131b12504c
141162d200
15a31e2c0
hex6ee5600

116282880 has 360 divisors, whose sum is σ = 473018832. Its totient is φ = 26320896.

The previous prime is 116282867. The next prime is 116282893. The reversal of 116282880 is 88282611.

116282880 is a `hidden beast` number, since 1 + 1 + 628 + 28 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (116282867) and next prime (116282893).

It is a tau number, because it is divible by the number of its divisors (360).

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 35 ways as a sum of consecutive naturals, for example, 1128909 + ... + 1129011.

Almost surely, 2116282880 is an apocalyptic number.

116282880 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 116282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236509416).

116282880 is an abundant number, since it is smaller than the sum of its proper divisors (356735952).

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

116282880 is a wasteful number, since it uses less digits than its factorization.

116282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 116282880 is about 10783.4539921122. The cubic root of 116282880 is about 488.0960126413.

The spelling of 116282880 in words is "one hundred sixteen million, two hundred eighty-two thousand, eight hundred eighty".