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118128960 = 2632541017
BaseRepresentation
bin1110000101010…
…00000101000000
322020021120110200
413002220011000
5220220111320
615415525200
72633036205
oct702500500
9266246420
10118128960
1160754044
1233689800
131b6203c1
141198dcac
15a586290
hex70a8140

118128960 has 84 divisors (see below), whose sum is σ = 406324308. Its totient is φ = 31500288.

The previous prime is 118128917. The next prime is 118128991. The reversal of 118128960 is 69821811.

It can be written as a sum of positive squares in 2 ways, for example, as 66977856 + 51151104 = 8184^2 + 7152^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17629 + ... + 23388.

Almost surely, 2118128960 is an apocalyptic number.

118128960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

118128960 is an abundant number, since it is smaller than the sum of its proper divisors (288195348).

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

118128960 is a wasteful number, since it uses less digits than its factorization.

118128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41040 (or 41027 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 118128960 is about 10868.7147354230. The cubic root of 118128960 is about 490.6654293972.

The spelling of 118128960 in words is "one hundred eighteen million, one hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 41017 82034 123051 164068 205085 246102 328136 369153 410170 492204 615255 656272 738306 820340 984408 1230510 1312544 1476612 1640680 1845765 1968816 2461020 2625088 2953224 3281360 3691530 3937632 4922040 5906448 6562720 7383060 7875264 9844080 11812896 13125440 14766120 19688160 23625792 29532240 39376320 59064480 118128960