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120481320 = 23357179179
BaseRepresentation
bin1110010111001…
…10011000101000
322101201002022010
413023212120220
5221320400240
615542155520
72662034331
oct713463050
9271632263
10120481320
1162010443
1234422ba0
131bc6502b
1412003288
15a89d280
hex72e6628

120481320 has 128 divisors (see below), whose sum is σ = 373248000. Its totient is φ = 31100160.

The previous prime is 120481303. The next prime is 120481321. The reversal of 120481320 is 23184021.

It is not an unprimeable number, because it can be changed into a prime (120481321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672991 + ... + 673169.

It is an arithmetic number, because the mean of its divisors is an integer number (2916000).

Almost surely, 2120481320 is an apocalyptic number.

120481320 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 120481320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186624000).

120481320 is an abundant number, since it is smaller than the sum of its proper divisors (252766680).

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

120481320 is a wasteful number, since it uses less digits than its factorization.

120481320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 120481320 is about 10976.3983163878. The cubic root of 120481320 is about 493.9010002294.

The spelling of 120481320 in words is "one hundred twenty million, four hundred eighty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 79 120 142 158 179 213 237 284 316 355 358 395 426 474 537 568 632 710 716 790 852 895 948 1065 1074 1185 1420 1432 1580 1704 1790 1896 2130 2148 2370 2685 2840 3160 3580 4260 4296 4740 5370 5609 7160 8520 9480 10740 11218 12709 14141 16827 21480 22436 25418 28045 28282 33654 38127 42423 44872 50836 56090 56564 63545 67308 70705 76254 84135 84846 101672 112180 113128 127090 134616 141410 152508 168270 169692 190635 212115 224360 254180 282820 305016 336540 339384 381270 424230 508360 565640 673080 762540 848460 1004011 1525080 1696920 2008022 3012033 4016044 5020055 6024066 8032088 10040110 12048132 15060165 20080220 24096264 30120330 40160440 60240660 120481320