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116958144 = 2632112887
BaseRepresentation
bin1101111100010…
…10001111000000
322011002002102010
412332022033000
5214420130034
615334452520
72620061562
oct676121700
9264062363
10116958144
1160024426
1233204140
131b300504
1411767332
15a4043e9
hex6f8a3c0

116958144 has 56 divisors (see below), whose sum is σ = 311026048. Its totient is φ = 38787840.

The previous prime is 116958143. The next prime is 116958161. The reversal of 116958144 is 441859611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116958143) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 39069 + ... + 41955.

Almost surely, 2116958144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116958144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155513024).

116958144 is an abundant number, since it is smaller than the sum of its proper divisors (194067904).

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

116958144 is a wasteful number, since it uses less digits than its factorization.

116958144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113 (or 3103 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 116958144 is about 10814.7188590365. The cubic root of 116958144 is about 489.0389938836.

The spelling of 116958144 in words is "one hundred sixteen million, nine hundred fifty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 211 422 633 844 1266 1688 2532 2887 3376 5064 5774 6752 8661 10128 11548 13504 17322 20256 23096 34644 40512 46192 69288 92384 138576 184768 277152 554304 609157 1218314 1827471 2436628 3654942 4873256 7309884 9746512 14619768 19493024 29239536 38986048 58479072 116958144