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116132940 = 22345731119
BaseRepresentation
bin1101110110000…
…00110001001100
322002112011110000
412323000301030
5214212223230
615305044300
72610054000
oct673006114
9262464400
10116132940
115a610440
1232a86690
131b0a1a21
14115d0700
15a2deb60
hex6ec0c4c

116132940 has 480 divisors, whose sum is σ = 487872000. Its totient is φ = 22861440.

The previous prime is 116132897. The next prime is 116132963. The reversal of 116132940 is 49231611.

116132940 is a `hidden beast` number, since 1 + 1 + 613 + 2 + 9 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6112251 + ... + 6112269.

It is an arithmetic number, because the mean of its divisors is an integer number (1016400).

Almost surely, 2116132940 is an apocalyptic number.

116132940 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 116132940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243936000).

116132940 is an abundant number, since it is smaller than the sum of its proper divisors (371739060).

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

116132940 is a wasteful number, since it uses less digits than its factorization.

116132940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 116132940 is about 10776.4994316336. The cubic root of 116132940 is about 487.8861319473.

The spelling of 116132940 in words is "one hundred sixteen million, one hundred thirty-two thousand, nine hundred forty".