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120422880 = 25325241347
BaseRepresentation
bin1110010110110…
…00000111100000
322101121010010200
413023120013200
5221312013010
615541025200
72661402054
oct713300740
9271533120
10120422880
1161a80546
12343b5200
131bc44556
1411dc9c64
15a88acc0
hex72d81e0

120422880 has 144 divisors (see below), whose sum is σ = 413837424. Its totient is φ = 31887360.

The previous prime is 120422867. The next prime is 120422891. The reversal of 120422880 is 88224021.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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, 346867 + ... + 347213.

It is an arithmetic number, because the mean of its divisors is an integer number (2873871).

Almost surely, 2120422880 is an apocalyptic number.

120422880 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 120422880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206918712).

120422880 is an abundant number, since it is smaller than the sum of its proper divisors (293414544).

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

120422880 is a wasteful number, since it uses less digits than its factorization.

120422880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 120422880 is about 10973.7359180910. The cubic root of 120422880 is about 493.8211310223.

The spelling of 120422880 in words is "one hundred twenty million, four hundred twenty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 241 288 347 360 480 482 694 720 723 964 1041 1205 1388 1440 1446 1735 1928 2082 2169 2410 2776 2892 3123 3470 3615 3856 4164 4338 4820 5205 5552 5784 6246 6940 7230 7712 8328 8676 9640 10410 10845 11104 11568 12492 13880 14460 15615 16656 17352 19280 20820 21690 23136 24984 27760 28920 31230 33312 34704 38560 41640 43380 49968 55520 57840 62460 69408 83280 83627 86760 99936 115680 124920 166560 167254 173520 249840 250881 334508 347040 418135 499680 501762 669016 752643 836270 1003524 1254405 1338032 1505286 1672540 2007048 2508810 2676064 3010572 3345080 3763215 4014096 5017620 6021144 6690160 7526430 8028192 10035240 12042288 13380320 15052860 20070480 24084576 30105720 40140960 60211440 120422880