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118000640 = 2105191213
BaseRepresentation
bin1110000100010…
…00110000000000
322020001001110002
413002020300000
5220202010030
615413055132
72631663122
oct702106000
9266031402
10118000640
116067669a
12336274a8
131b5a6b84
1411959212
15a55d245
hex7088c00

118000640 has 88 divisors (see below), whose sum is σ = 298206960. Its totient is φ = 44679168.

The previous prime is 118000639. The next prime is 118000667. The reversal of 118000640 is 46000811.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 96674 + ... + 97886.

Almost surely, 2118000640 is an apocalyptic number.

118000640 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 118000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149103480).

118000640 is an abundant number, since it is smaller than the sum of its proper divisors (180206320).

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

118000640 is a wasteful number, since it uses less digits than its factorization.

118000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 118000640 is about 10862.8099495480. The cubic root of 118000640 is about 490.4876999066.

The spelling of 118000640 in words is "one hundred eighteen million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 512 608 640 760 1024 1213 1216 1280 1520 2426 2432 2560 3040 4852 4864 5120 6065 6080 9704 9728 12130 12160 19408 19456 23047 24260 24320 38816 46094 48520 48640 77632 92188 97040 97280 115235 155264 184376 194080 230470 310528 368752 388160 460940 621056 737504 776320 921880 1242112 1475008 1552640 1843760 2950016 3105280 3687520 5900032 6210560 7375040 11800064 14750080 23600128 29500160 59000320 118000640