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116725440 = 26351347199
BaseRepresentation
bin1101111010100…
…01011011000000
322010122021012110
412331101123000
5214340203230
615325455320
72615102256
oct675213300
9263567173
10116725440
115a985607
1233111540
131b24b610
14117065d6
15a3aa4b0
hex6f516c0

116725440 has 224 divisors, whose sum is σ = 409651200. Its totient is φ = 27979776.

The previous prime is 116725429. The next prime is 116725489. The reversal of 116725440 is 44527611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 116725398 and 116725407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586461 + ... + 586659.

It is an arithmetic number, because the mean of its divisors is an integer number (1828800).

Almost surely, 2116725440 is an apocalyptic number.

116725440 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 116725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204825600).

116725440 is an abundant number, since it is smaller than the sum of its proper divisors (292925760).

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

116725440 is a wasteful number, since it uses less digits than its factorization.

116725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 116725440 is about 10803.9548314495. The cubic root of 116725440 is about 488.7144421992.

The spelling of 116725440 in words is "one hundred sixteen million, seven hundred twenty-five thousand, four hundred forty".