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116132952 = 23313449829
BaseRepresentation
bin1101110110000…
…00110001011000
322002112011110110
412323000301120
5214212223302
615305044320
72610054015
oct673006130
9262464413
10116132952
115a610451
1232a866a0
131b0a1a30
14115d070c
15a2deb6c
hex6ec0c58

116132952 has 64 divisors (see below), whose sum is σ = 313740000. Its totient is φ = 35610624.

The previous prime is 116132897. The next prime is 116132963. The reversal of 116132952 is 259231611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139674 + ... + 140502.

Almost surely, 2116132952 is an apocalyptic number.

116132952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 10776×10777.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116132952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156870000).

116132952 is an abundant number, since it is smaller than the sum of its proper divisors (197607048).

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

116132952 is a wasteful number, since it uses less digits than its factorization.

116132952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1296 counting only the distinct ones).

The product of its digits is 3240, while the sum is 30.

The square root of 116132952 is about 10776.4999884007. The cubic root of 116132952 is about 487.8861487517.

The spelling of 116132952 in words is "one hundred sixteen million, one hundred thirty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 449 829 898 1347 1658 1796 2487 2694 3316 3592 4974 5388 5837 6632 9948 10776 10777 11674 17511 19896 21554 23348 32331 35022 43108 46696 64662 70044 86216 129324 140088 258648 372221 744442 1116663 1488884 2233326 2977768 4466652 4838873 8933304 9677746 14516619 19355492 29033238 38710984 58066476 116132952