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120491160 = 233519431229
BaseRepresentation
bin1110010111010…
…00110010011000
322101201120210120
413023220302120
5221321204120
615542313240
72662105116
oct713506230
9271646716
10120491160
1162017879
1234428820
131bc6965a
1412006ab6
15a8a1140
hex72e8c98

120491160 has 128 divisors (see below), whose sum is σ = 389664000. Its totient is φ = 29707776.

The previous prime is 120491159. The next prime is 120491167. The reversal of 120491160 is 61194021.

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

It is a self number, because there is not a number n which added to its sum of digits gives 120491160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120491167) 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, 97426 + ... + 98654.

It is an arithmetic number, because the mean of its divisors is an integer number (3044250).

Almost surely, 2120491160 is an apocalyptic number.

120491160 is a gapful number since it is divisible by the number (10) 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 120491160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194832000).

120491160 is an abundant number, since it is smaller than the sum of its proper divisors (269172840).

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

120491160 is a wasteful number, since it uses less digits than its factorization.

120491160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1305 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 120491160 is about 10976.8465416986. The cubic root of 120491160 is about 493.9144458920.

The spelling of 120491160 in words is "one hundred twenty million, four hundred ninety-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 43 57 60 76 86 95 114 120 129 152 172 190 215 228 258 285 344 380 430 456 516 570 645 760 817 860 1032 1140 1229 1290 1634 1720 2280 2451 2458 2580 3268 3687 4085 4902 4916 5160 6145 6536 7374 8170 9804 9832 12255 12290 14748 16340 18435 19608 23351 24510 24580 29496 32680 36870 46702 49020 49160 52847 70053 73740 93404 98040 105694 116755 140106 147480 158541 186808 211388 233510 264235 280212 317082 350265 422776 467020 528470 560424 634164 700530 792705 934040 1004093 1056940 1268328 1401060 1585410 2008186 2113880 2802120 3012279 3170820 4016372 5020465 6024558 6341640 8032744 10040930 12049116 15061395 20081860 24098232 30122790 40163720 60245580 120491160