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118689984 = 2632729437
BaseRepresentation
bin1110001001100…
…01000011000000
322021100002001100
413010301003000
5220341034414
615435534400
72640563640
oct704610300
9267302040
10118689984
1160aa75a6
12338ba400
131b78887a
1411a98520
15a647609
hex71310c0

118689984 has 84 divisors (see below), whose sum is σ = 388817104. Its totient is φ = 33910272.

The previous prime is 118689983. The next prime is 118689997. The reversal of 118689984 is 489986811.

It is a tau number, because it is divible by the number of its divisors (84).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 118689984.

It is not an unprimeable number, because it can be changed into a prime (118689983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10687 + ... + 18750.

Almost surely, 2118689984 is an apocalyptic number.

118689984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

118689984 is an abundant number, since it is smaller than the sum of its proper divisors (270127120).

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

118689984 is a wasteful number, since it uses less digits than its factorization.

118689984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29462 (or 29449 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 118689984 is about 10894.4932878955. The cubic root of 118689984 is about 491.4409672631.

The spelling of 118689984 in words is "one hundred eighteen million, six hundred eighty-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 29437 58874 88311 117748 176622 206059 235496 264933 353244 412118 470992 529866 618177 706488 824236 941984 1059732 1236354 1412976 1648472 1854531 1883968 2119464 2472708 2825952 3296944 3709062 4238928 4945416 5651904 6593888 7418124 8477856 9890832 13187776 14836248 16955712 19781664 29672496 39563328 59344992 118689984