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120193060 = 225131771383
BaseRepresentation
bin1110010101000…
…00000000100100
322101011102212211
413022200000210
5221232134220
615532053204
72656424041
oct712400044
9271142784
10120193060
1161933909
1234304204
131bb93a70
1411d6a1c8
15a842b5a
hex72a0024

120193060 has 96 divisors (see below), whose sum is σ = 292626432. Its totient is φ = 41072640.

The previous prime is 120193039. The next prime is 120193063. The reversal of 120193060 is 60391021.

It is not an unprimeable number, because it can be changed into a prime (120193063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 313629 + ... + 314011.

It is an arithmetic number, because the mean of its divisors is an integer number (3048192).

Almost surely, 2120193060 is an apocalyptic number.

120193060 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 120193060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146313216).

120193060 is an abundant number, since it is smaller than the sum of its proper divisors (172433372).

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

120193060 is a wasteful number, since it uses less digits than its factorization.

120193060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 120193060 is about 10963.2595517939. The cubic root of 120193060 is about 493.5067880854.

The spelling of 120193060 in words is "one hundred twenty million, one hundred ninety-three thousand, sixty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 71 85 130 142 170 221 260 284 340 355 383 442 710 766 884 923 1105 1207 1420 1532 1846 1915 2210 2414 3692 3830 4420 4615 4828 4979 6035 6511 7660 9230 9958 12070 13022 15691 18460 19916 24140 24895 26044 27193 31382 32555 49790 54386 62764 65110 78455 84643 99580 108772 130220 135965 156910 169286 271930 313820 338572 353509 423215 462281 543860 707018 846430 924562 1414036 1692860 1767545 1849124 2311405 3535090 4622810 6009653 7070180 9245620 12019306 24038612 30048265 60096530 120193060