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116931024 = 24327311373
BaseRepresentation
bin1101111100000…
…11100111010000
322011000201012200
412332003213100
5214413243044
615334123200
72616616530
oct676034720
9264021180
10116931024
1160006011
12331b0500
131b2c1072
141175b4c0
15a3eb369
hex6f839d0

116931024 has 120 divisors (see below), whose sum is σ = 376202112. Its totient is φ = 33212160.

The previous prime is 116930999. The next prime is 116931037. The reversal of 116931024 is 420139611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 313302 + ... + 313674.

Almost surely, 2116931024 is an apocalyptic number.

116931024 is a gapful number since it is divisible by the number (14) 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 116931024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188101056).

116931024 is an abundant number, since it is smaller than the sum of its proper divisors (259271088).

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

116931024 is a wasteful number, since it uses less digits than its factorization.

116931024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 696 counting only the distinct ones).

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

The square root of 116931024 is about 10813.4649396019. The cubic root of 116931024 is about 489.0011918623.

The spelling of 116931024 in words is "one hundred sixteen million, nine hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 311 336 373 504 622 746 933 1008 1119 1244 1492 1866 2177 2238 2488 2611 2799 2984 3357 3732 4354 4476 4976 5222 5598 5968 6531 6714 7464 7833 8708 8952 10444 11196 13062 13428 14928 15666 17416 17904 19593 20888 22392 23499 26124 26856 31332 34832 39186 41776 44784 46998 52248 53712 62664 78372 93996 104496 116003 125328 156744 187992 232006 313488 348009 375984 464012 696018 812021 928024 1044027 1392036 1624042 1856048 2088054 2436063 2784072 3248084 4176108 4872126 5568144 6496168 7308189 8352216 9744252 12992336 14616378 16704432 19488504 29232756 38977008 58465512 116931024