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118064628 = 223411157211
BaseRepresentation
bin1110000100110…
…00010111110100
322020011022020000
413002120113310
5220211032003
615414311300
72632350513
oct702302764
9266138200
10118064628
116070a780
1233658530
131b5ca036
141197467a
15a5721a3
hex70985f4

118064628 has 120 divisors (see below), whose sum is σ = 340453344. Its totient is φ = 35380800.

The previous prime is 118064623. The next prime is 118064659. The reversal of 118064628 is 826460811.

118064628 is a `hidden beast` number, since 1 + 1 + 8 + 0 + 646 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 118064592 and 118064601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118064623) 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 39 ways as a sum of consecutive naturals, for example, 559443 + ... + 559653.

Almost surely, 2118064628 is an apocalyptic number.

118064628 is a gapful number since it is divisible by the number (18) 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 118064628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170226672).

118064628 is an abundant number, since it is smaller than the sum of its proper divisors (222388716).

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

118064628 is a wasteful number, since it uses less digits than its factorization.

118064628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 118064628 is about 10865.7548288188. The cubic root of 118064628 is about 490.5763425207.

The spelling of 118064628 in words is "one hundred eighteen million, sixty-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 157 162 198 211 297 314 324 396 422 471 594 628 633 844 891 942 1188 1266 1413 1727 1782 1884 1899 2321 2532 2826 3454 3564 3798 4239 4642 5181 5652 5697 6908 6963 7596 8478 9284 10362 11394 12717 13926 15543 16956 17091 20724 20889 22788 25434 27852 31086 33127 34182 41778 46629 50868 62172 62667 66254 68364 83556 93258 99381 125334 132508 139887 186516 188001 198762 250668 279774 298143 364397 376002 397524 559548 596286 728794 752004 894429 1093191 1192572 1457588 1788858 2186382 2683287 3279573 3577716 4372764 5366574 6559146 9838719 10733148 13118292 19677438 29516157 39354876 59032314 118064628