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120475056 = 243131741277
BaseRepresentation
bin1110010111001…
…00110110110000
322101200202201010
413023210312300
5221320200211
615542110520
72662010142
oct713446660
9271622633
10120475056
1162006769
123441b440
131bc62220
1412000c92
15a89b4a6
hex72e4db0

120475056 has 160 divisors (see below), whose sum is σ = 364851648. Its totient is φ = 33914880.

The previous prime is 120475051. The next prime is 120475057. The reversal of 120475056 is 650574021.

It is not an unprimeable number, because it can be changed into a prime (120475051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 434790 + ... + 435066.

Almost surely, 2120475056 is an apocalyptic number.

120475056 is a gapful number since it is divisible by the number (16) 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 120475056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182425824).

120475056 is an abundant number, since it is smaller than the sum of its proper divisors (244376592).

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

120475056 is a wasteful number, since it uses less digits than its factorization.

120475056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 120475056 is about 10976.1129731795. The cubic root of 120475056 is about 493.8924405360.

The spelling of 120475056 in words is "one hundred twenty million, four hundred seventy-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 41 48 51 52 68 78 82 102 104 123 136 156 164 204 208 221 246 272 277 312 328 408 442 492 533 554 624 656 663 697 816 831 884 984 1066 1108 1326 1394 1599 1662 1768 1968 2091 2132 2216 2652 2788 3198 3324 3536 3601 4182 4264 4432 4709 5304 5576 6396 6648 7202 8364 8528 9061 9418 10608 10803 11152 11357 12792 13296 14127 14404 16728 18122 18836 21606 22714 25584 27183 28254 28808 33456 34071 36244 37672 43212 45428 54366 56508 57616 61217 68142 72488 75344 86424 90856 108732 113016 122434 136284 144976 147641 172848 181712 183651 193069 217464 226032 244868 272568 295282 367302 386138 434928 442923 489736 545136 579207 590564 734604 772276 885846 979472 1158414 1181128 1469208 1544552 1771692 2316828 2362256 2509897 2938416 3089104 3543384 4633656 5019794 7086768 7529691 9267312 10039588 15059382 20079176 30118764 40158352 60237528 120475056