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118681640 = 235711231113
BaseRepresentation
bin1110001001011…
…11000000101000
322021022122121022
413010233000220
5220340303030
615435432012
72640530420
oct704570050
9267278538
10118681640
1160aa1300
12338b5608
131b784b2c
1411a95480
15a644de5
hex712f028

118681640 has 192 divisors, whose sum is σ = 349332480. Its totient is φ = 35481600.

The previous prime is 118681613. The next prime is 118681649. The reversal of 118681640 is 46186811.

118681640 = T169 + T170 + ... + T894.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 118681640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118681649) 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 47 ways as a sum of consecutive naturals, for example, 1050224 + ... + 1050336.

It is an arithmetic number, because the mean of its divisors is an integer number (1819440).

Almost surely, 2118681640 is an apocalyptic number.

118681640 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 118681640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174666240).

118681640 is an abundant number, since it is smaller than the sum of its proper divisors (230650840).

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

118681640 is a wasteful number, since it uses less digits than its factorization.

118681640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 118681640 is about 10894.1103354060. The cubic root of 118681640 is about 491.4294507633.

The spelling of 118681640 in words is "one hundred eighteen million, six hundred eighty-one thousand, six hundred forty".