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118997520 = 24351672969
BaseRepresentation
bin1110001011111…
…00001000010000
322021220200220120
413011330020100
5220430410040
615450310240
72643314355
oct705741020
9267820816
10118997520
1161197664
1233a28380
131b865845
1411b3862c
15a6a87d0
hex717c210

118997520 has 80 divisors (see below), whose sum is σ = 371226240. Its totient is φ = 31532032.

The previous prime is 118997507. The next prime is 118997521. The reversal of 118997520 is 25799811.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (118997521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38596 + ... + 41564.

It is an arithmetic number, because the mean of its divisors is an integer number (4640328).

Almost surely, 2118997520 is an apocalyptic number.

118997520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

118997520 is the 8907-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118997520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185613120).

118997520 is an abundant number, since it is smaller than the sum of its proper divisors (252228720).

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

118997520 is a wasteful number, since it uses less digits than its factorization.

118997520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3152 (or 3146 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 42.

The square root of 118997520 is about 10908.5984434298. The cubic root of 118997520 is about 491.8650565207.

The spelling of 118997520 in words is "one hundred eighteen million, nine hundred ninety-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 167 240 334 501 668 835 1002 1336 1670 2004 2505 2672 2969 3340 4008 5010 5938 6680 8016 8907 10020 11876 13360 14845 17814 20040 23752 29690 35628 40080 44535 47504 59380 71256 89070 118760 142512 178140 237520 356280 495823 712560 991646 1487469 1983292 2479115 2974938 3966584 4958230 5949876 7437345 7933168 9916460 11899752 14874690 19832920 23799504 29749380 39665840 59498760 118997520