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116471520 = 25345111943
BaseRepresentation
bin1101111000100…
…11011011100000
322010011100220000
412330103123200
5214304042040
615320220000
72612664054
oct674233340
9263140800
10116471520
115a821860
123300a600
131b18cb79
141167bc64
15a35a130
hex6f136e0

116471520 has 480 divisors, whose sum is σ = 482993280. Its totient is φ = 26127360.

The previous prime is 116471513. The next prime is 116471543. The reversal of 116471520 is 25174611.

It is a happy number.

116471520 is a `hidden beast` number, since 1 + 1 + 647 + 15 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1164715202 = 27131229942220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2708619 + ... + 2708661.

It is an arithmetic number, because the mean of its divisors is an integer number (1006236).

Almost surely, 2116471520 is an apocalyptic number.

116471520 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 116471520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241496640).

116471520 is an abundant number, since it is smaller than the sum of its proper divisors (366521760).

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

116471520 is a wasteful number, since it uses less digits than its factorization.

116471520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 116471520 is about 10792.1971812972. The cubic root of 116471520 is about 488.3598081010.

The spelling of 116471520 in words is "one hundred sixteen million, four hundred seventy-one thousand, five hundred twenty".