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120338820 = 22325795507
BaseRepresentation
bin1110010110000…
…11100110000100
322101102211211100
413023003212010
5221301320240
615535140100
72660602020
oct713034604
9271384740
10120338820
1161a23378
1234374630
131bc15204
1411da7380
15a870e30
hex72c3984

120338820 has 72 divisors (see below), whose sum is σ = 417178944. Its totient is φ = 27505728.

The previous prime is 120338791. The next prime is 120338849. The reversal of 120338820 is 28833021.

It is an interprime number because it is at equal distance from previous prime (120338791) and next prime (120338849).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46494 + ... + 49013.

It is an arithmetic number, because the mean of its divisors is an integer number (5794152).

Almost surely, 2120338820 is an apocalyptic number.

120338820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120338820 is an abundant number, since it is smaller than the sum of its proper divisors (296840124).

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

120338820 is a wasteful number, since it uses less digits than its factorization.

120338820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95529 (or 95524 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 120338820 is about 10969.9051955794. The cubic root of 120338820 is about 493.7062019581.

The spelling of 120338820 in words is "one hundred twenty million, three hundred thirty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 95507 191014 286521 382028 477535 573042 668549 859563 955070 1146084 1337098 1432605 1719126 1910140 2005647 2674196 2865210 3342745 3438252 4011294 4297815 5730420 6016941 6685490 8022588 8595630 10028235 12033882 13370980 17191260 20056470 24067764 30084705 40112940 60169410 120338820