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118944080 = 24529167307
BaseRepresentation
bin1110001011011…
…11000101010000
322021210222121022
413011233011100
5220422202310
615445215012
72643002513
oct705570520
9267728538
10118944080
11611604a2
1233a01468
131b847418
1411b22d7a
15a697a55
hex716f150

118944080 has 80 divisors (see below), whose sum is σ = 288731520. Its totient is φ = 45513216.

The previous prime is 118944079. The next prime is 118944101. The reversal of 118944080 is 80449811.

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

It is a self number, because there is not a number n which added to its sum of digits gives 118944080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387287 + ... + 387593.

It is an arithmetic number, because the mean of its divisors is an integer number (3609144).

Almost surely, 2118944080 is an apocalyptic number.

118944080 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 118944080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144365760).

118944080 is an abundant number, since it is smaller than the sum of its proper divisors (169787440).

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

118944080 is a wasteful number, since it uses less digits than its factorization.

118944080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 510 counting only the distinct ones).

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

The square root of 118944080 is about 10906.1487244581. The cubic root of 118944080 is about 491.7914157581.

The spelling of 118944080 in words is "one hundred eighteen million, nine hundred forty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 167 232 290 307 334 464 580 614 668 835 1160 1228 1336 1535 1670 2320 2456 2672 3070 3340 4843 4912 6140 6680 8903 9686 12280 13360 17806 19372 24215 24560 35612 38744 44515 48430 51269 71224 77488 89030 96860 102538 142448 178060 193720 205076 256345 356120 387440 410152 512690 712240 820304 1025380 1486801 2050760 2973602 4101520 5947204 7434005 11894408 14868010 23788816 29736020 59472040 118944080