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120960560 = 2457613541
BaseRepresentation
bin1110011010110…
…11011000110000
322102121102200202
413031123120300
5221431214220
620000334332
72666101460
oct715333060
9272542622
10120960560
1162308506
12346143a8
131c0a21c6
14120c9ba0
15a945275
hex735b630

120960560 has 80 divisors (see below), whose sum is σ = 326770752. Its totient is φ = 40780800.

The previous prime is 120960547. The next prime is 120960571. The reversal of 120960560 is 65069021.

It is a tau number, because it is divible by the number of its divisors (80).

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, 32390 + ... + 35930.

Almost surely, 2120960560 is an apocalyptic number.

120960560 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 120960560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163385376).

120960560 is an abundant number, since it is smaller than the sum of its proper divisors (205810192).

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

120960560 is a wasteful number, since it uses less digits than its factorization.

120960560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622 (or 3616 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 120960560 is about 10998.2071266184. The cubic root of 120960560 is about 494.5549991768.

The spelling of 120960560 in words is "one hundred twenty million, nine hundred sixty thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 61 70 80 112 122 140 244 280 305 427 488 560 610 854 976 1220 1708 2135 2440 3416 3541 4270 4880 6832 7082 8540 14164 17080 17705 24787 28328 34160 35410 49574 56656 70820 99148 123935 141640 198296 216001 247870 283280 396592 432002 495740 864004 991480 1080005 1512007 1728008 1982960 2160010 3024014 3456016 4320020 6048028 7560035 8640040 12096056 15120070 17280080 24192112 30240140 60480280 120960560