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118956144 = 2432997881
BaseRepresentation
bin1110001011100…
…10000001110000
322021211121011010
413011302001300
5220423044034
615445350520
72643052626
oct705620160
9267747133
10118956144
116116956a
1233a08440
131b84ca68
1411b27516
15a69b3e9
hex7172070

118956144 has 80 divisors (see below), whose sum is σ = 321541920. Its totient is φ = 37847040.

The previous prime is 118956133. The next prime is 118956151. The reversal of 118956144 is 441659811.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 134584 + ... + 135464.

It is an arithmetic number, because the mean of its divisors is an integer number (4019274).

Almost surely, 2118956144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118956144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160770960).

118956144 is an abundant number, since it is smaller than the sum of its proper divisors (202585776).

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

118956144 is a wasteful number, since it uses less digits than its factorization.

118956144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1012 counting only the distinct ones).

The product of its digits is 34560, while the sum is 39.

The square root of 118956144 is about 10906.7017929345. The cubic root of 118956144 is about 491.8080419773.

The spelling of 118956144 in words is "one hundred eighteen million, nine hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 97 116 174 194 232 291 348 388 464 582 696 776 881 1164 1392 1552 1762 2328 2643 2813 3524 4656 5286 5626 7048 8439 10572 11252 14096 16878 21144 22504 25549 33756 42288 45008 51098 67512 76647 85457 102196 135024 153294 170914 204392 256371 306588 341828 408784 512742 613176 683656 1025484 1226352 1367312 2050968 2478253 4101936 4956506 7434759 9913012 14869518 19826024 29739036 39652048 59478072 118956144