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117443904 = 2632512437
BaseRepresentation
bin1110000000000…
…00110101000000
322011222202202020
413000000311000
5220031201104
615353121440
72624154024
oct700006500
9264882666
10117443904
1160326386
12333b9280
131b440646
1411852384
15a49d2d9
hex7000d40

117443904 has 56 divisors (see below), whose sum is σ = 312103008. Its totient is φ = 38976000.

The previous prime is 117443891. The next prime is 117443917. The reversal of 117443904 is 409344711.

It is an interprime number because it is at equal distance from previous prime (117443891) and next prime (117443917).

It is a super-2 number, since 2×1174439042 = 27586141173522432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46974 + ... + 49410.

It is an arithmetic number, because the mean of its divisors is an integer number (5573268).

Almost surely, 2117443904 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 117443904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156051504).

117443904 is an abundant number, since it is smaller than the sum of its proper divisors (194659104).

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

117443904 is a wasteful number, since it uses less digits than its factorization.

117443904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 117443904 is about 10837.1538699051. The cubic root of 117443904 is about 489.7150974650.

The spelling of 117443904 in words is "one hundred seventeen million, four hundred forty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 251 502 753 1004 1506 2008 2437 3012 4016 4874 6024 7311 8032 9748 12048 14622 16064 19496 24096 29244 38992 48192 58488 77984 116976 155968 233952 467904 611687 1223374 1835061 2446748 3670122 4893496 7340244 9786992 14680488 19573984 29360976 39147968 58721952 117443904