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118012272 = 2437595953
BaseRepresentation
bin1110000100010…
…11100101110000
322020001122101220
413002023211300
5220202343042
615413225040
72632042050
oct702134560
9266048356
10118012272
1160684404
1233632180
131b5ac261
141195d560
15a5618ec
hex708b970

118012272 has 80 divisors (see below), whose sum is σ = 354382080. Its totient is φ = 33140736.

The previous prime is 118012261. The next prime is 118012273. The reversal of 118012272 is 272210811.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118012273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16848 + ... + 22800.

It is an arithmetic number, because the mean of its divisors is an integer number (4429776).

Almost surely, 2118012272 is an apocalyptic number.

118012272 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 118012272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177191040).

118012272 is an abundant number, since it is smaller than the sum of its proper divisors (236369808).

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

118012272 is a wasteful number, since it uses less digits than its factorization.

118012272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6030 (or 6024 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 118012272 is about 10863.3453411000. The cubic root of 118012272 is about 490.5038161058.

The spelling of 118012272 in words is "one hundred eighteen million, twelve thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 472 708 826 944 1239 1416 1652 2478 2832 3304 4956 5953 6608 9912 11906 17859 19824 23812 35718 41671 47624 71436 83342 95248 125013 142872 166684 250026 285744 333368 351227 500052 666736 702454 1000104 1053681 1404908 2000208 2107362 2458589 2809816 4214724 4917178 5619632 7375767 8429448 9834356 14751534 16858896 19668712 29503068 39337424 59006136 118012272