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118842912 = 2532433953
BaseRepresentation
bin1110001010101…
…10011000100000
322021121211211100
413011112120200
5220410433122
615443114400
72642101536
oct705263040
9267554740
10118842912
11610a1491
1233972a00
131b810366
1411ad8156
15a677aac
hex7156620

118842912 has 72 divisors (see below), whose sum is σ = 339095484. Its totient is φ = 39481344.

The previous prime is 118842883. The next prime is 118842943. The reversal of 118842912 is 219248811.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 110754576 + 8088336 = 10524^2 + 2844^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 124228 + ... + 125180.

Almost surely, 2118842912 is an apocalyptic number.

118842912 is a gapful number since it is divisible by the number (12) 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 118842912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169547742).

118842912 is an abundant number, since it is smaller than the sum of its proper divisors (220252572).

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

118842912 is a wasteful number, since it uses less digits than its factorization.

118842912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1391 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 118842912 is about 10901.5096202315. The cubic root of 118842912 is about 491.6519449900.

It can be divided in two parts, 1188 and 42912, that added together give a square (44100 = 2102).

The spelling of 118842912 in words is "one hundred eighteen million, eight hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 433 866 953 1299 1732 1906 2598 2859 3464 3812 3897 5196 5718 6928 7624 7794 8577 10392 11436 13856 15248 15588 17154 20784 22872 30496 31176 34308 41568 45744 62352 68616 91488 124704 137232 274464 412649 825298 1237947 1650596 2475894 3301192 3713841 4951788 6602384 7427682 9903576 13204768 14855364 19807152 29710728 39614304 59421456 118842912