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120467116 = 22711231237
BaseRepresentation
bin1110010111000…
…10111010101100
322101200100211001
413023202322230
5221314421431
615542010044
72661645040
oct713427254
9271610731
10120467116
1162000800
1234416924
131bc5b723
1411ddc020
15a898e61
hex72e2eac

120467116 has 108 divisors (see below), whose sum is σ = 281042832. Its totient is φ = 44193600.

The previous prime is 120467101. The next prime is 120467161. The reversal of 120467116 is 611764021.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3255850 + ... + 3255886.

Almost surely, 2120467116 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 120467116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140521416).

120467116 is an abundant number, since it is smaller than the sum of its proper divisors (160575716).

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

120467116 is a wasteful number, since it uses less digits than its factorization.

120467116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 120467116 is about 10975.7512726920. The cubic root of 120467116 is about 493.8815901789.

The spelling of 120467116 in words is "one hundred twenty million, four hundred sixty-seven thousand, one hundred sixteen".

Divisors: 1 2 4 7 11 14 22 28 31 37 44 62 74 77 121 124 148 154 217 242 259 308 341 407 434 484 518 682 814 847 868 961 1036 1147 1364 1628 1694 1922 2294 2387 2849 3388 3751 3844 4477 4588 4774 5698 6727 7502 8029 8954 9548 10571 11396 12617 13454 15004 16058 17908 21142 25234 26257 26908 31339 32116 35557 42284 50468 52514 62678 71114 73997 88319 105028 116281 125356 138787 142228 147994 176638 232562 248899 277574 295988 353276 391127 465124 497798 555148 782254 813967 971509 995596 1564508 1627934 1943018 2737889 3255868 3886036 4302397 5475778 8604794 10951556 17209588 30116779 60233558 120467116