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118319072 = 2529592161
BaseRepresentation
bin1110000110101…
…10011111100000
322020122020020212
413003112133200
5220242202242
615423553252
72634460364
oct703263740
9266566225
10118319072
1160873963
123375b828
131b688ab1
14119dd2a4
15a5c2782
hex70d67e0

118319072 has 48 divisors (see below), whose sum is σ = 245170800. Its totient is φ = 56125440.

The previous prime is 118319063. The next prime is 118319083. The reversal of 118319072 is 270913811.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53672 + ... + 55832.

It is an arithmetic number, because the mean of its divisors is an integer number (5107725).

Almost surely, 2118319072 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 118319072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122585400).

118319072 is an abundant number, since it is smaller than the sum of its proper divisors (126851728).

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

118319072 is a wasteful number, since it uses less digits than its factorization.

118319072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2259 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 118319072 is about 10877.4570557645. The cubic root of 118319072 is about 490.9285073918.

It can be divided in two parts, 118 and 319072, that multiplied together give a square (37650496 = 61362).

The spelling of 118319072 in words is "one hundred eighteen million, three hundred nineteen thousand, seventy-two".

Divisors: 1 2 4 8 16 29 32 58 59 116 118 232 236 464 472 928 944 1711 1888 2161 3422 4322 6844 8644 13688 17288 27376 34576 54752 62669 69152 125338 127499 250676 254998 501352 509996 1002704 1019992 2005408 2039984 3697471 4079968 7394942 14789884 29579768 59159536 118319072