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118208960 = 2652316061
BaseRepresentation
bin1110000101110…
…11100111000000
322020102122012122
413002323213000
5220230141320
615421343412
72633521352
oct702734700
9266378178
10118208960
11607a9161
1233707b68
131b64a93c
14119b10d2
15a59ed25
hex70bb9c0

118208960 has 56 divisors (see below), whose sum is σ = 293741856. Its totient is φ = 45224960.

The previous prime is 118208947. The next prime is 118208989. The reversal of 118208960 is 69802811.

It is a self number, because there is not a number n which added to its sum of digits gives 118208960.

It is a congruent number.

It is an unprimeable number.

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, 671 + ... + 15390.

Almost surely, 2118208960 is an apocalyptic number.

118208960 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 118208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146870928).

118208960 is an abundant number, since it is smaller than the sum of its proper divisors (175532896).

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

118208960 is a wasteful number, since it uses less digits than its factorization.

118208960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16101 (or 16091 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 35.

The square root of 118208960 is about 10872.3944004989. The cubic root of 118208960 is about 490.7761681937.

The spelling of 118208960 in words is "one hundred eighteen million, two hundred eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 460 736 920 1472 1840 3680 7360 16061 32122 64244 80305 128488 160610 256976 321220 369403 513952 642440 738806 1027904 1284880 1477612 1847015 2569760 2955224 3694030 5139520 5910448 7388060 11820896 14776120 23641792 29552240 59104480 118208960