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118075272 = 23371971521
BaseRepresentation
bin1110000100110…
…10111110001000
322020011211211020
413002122332020
5220211402042
615414432440
72632423530
oct702327610
9266154736
10118075272
1160717777
1233662720
131b601b33
14119784c0
15a5753ec
hex709af88

118075272 has 128 divisors (see below), whose sum is σ = 360806400. Its totient is φ = 31449600.

The previous prime is 118075259. The next prime is 118075273. The reversal of 118075272 is 272570811.

It is not an unprimeable number, because it can be changed into a prime (118075273) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 226372 + ... + 226892.

It is an arithmetic number, because the mean of its divisors is an integer number (2818800).

Almost surely, 2118075272 is an apocalyptic number.

118075272 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 118075272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180403200).

118075272 is an abundant number, since it is smaller than the sum of its proper divisors (242731128).

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

118075272 is a wasteful number, since it uses less digits than its factorization.

118075272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The square root of 118075272 is about 10866.2446134808. The cubic root of 118075272 is about 490.5910845530.

The spelling of 118075272 in words is "one hundred eighteen million, seventy-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 71 76 84 114 133 142 152 168 213 228 266 284 399 426 456 497 521 532 568 798 852 994 1042 1064 1349 1491 1563 1596 1704 1988 2084 2698 2982 3126 3192 3647 3976 4047 4168 5396 5964 6252 7294 8094 9443 9899 10792 10941 11928 12504 14588 16188 18886 19798 21882 28329 29176 29697 32376 36991 37772 39596 43764 56658 59394 69293 73982 75544 79192 87528 110973 113316 118788 138586 147964 207879 221946 226632 237576 258937 277172 295928 415758 443892 517874 554344 702829 776811 831516 887784 1035748 1405658 1553622 1663032 2071496 2108487 2811316 3107244 4216974 4919803 5622632 6214488 8433948 9839606 14759409 16867896 19679212 29518818 39358424 59037636 118075272