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120645640 = 2357379523
BaseRepresentation
bin1110011000011…
…10100000001000
322102000102201001
413030032200020
5221341130030
615545504344
72663320363
oct714164010
9272012631
10120645640
1162112945
12344a20b4
131bcc1a6b
14120470da
15a8d1cca
hex730e808

120645640 has 64 divisors (see below), whose sum is σ = 279187200. Its totient is φ = 46904832.

The previous prime is 120645631. The next prime is 120645653. The reversal of 120645640 is 46546021.

It is a junction number, because it is equal to n+sod(n) for n = 120645599 and 120645608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230419 + ... + 230941.

It is an arithmetic number, because the mean of its divisors is an integer number (4362300).

Almost surely, 2120645640 is an apocalyptic number.

120645640 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 120645640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139593600).

120645640 is an abundant number, since it is smaller than the sum of its proper divisors (158541560).

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

120645640 is a wasteful number, since it uses less digits than its factorization.

120645640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 120645640 is about 10983.8809170530. The cubic root of 120645640 is about 494.1254359739.

The spelling of 120645640 in words is "one hundred twenty million, six hundred forty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 79 146 158 292 316 365 395 523 584 632 730 790 1046 1460 1580 2092 2615 2920 3160 4184 5230 5767 10460 11534 20920 23068 28835 38179 41317 46136 57670 76358 82634 115340 152716 165268 190895 206585 230680 305432 330536 381790 413170 763580 826340 1527160 1652680 3016141 6032282 12064564 15080705 24129128 30161410 60322820 120645640