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120992608 = 25111979229
BaseRepresentation
bin1110011011000…
…11001101100000
322102200001122201
413031203031200
5221433230413
620001142544
72666264062
oct715431540
9272601581
10120992608
116232a5a0
123462aa54
131c0b3979
14120d7732
15a94e9dd
hex7363360

120992608 has 96 divisors (see below), whose sum is σ = 278208000. Its totient is φ = 51217920.

The previous prime is 120992569. The next prime is 120992623. The reversal of 120992608 is 806299021.

It is a super-2 number, since 2×1209926082 = 29278422381283328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 528238 + ... + 528466.

It is an arithmetic number, because the mean of its divisors is an integer number (2898000).

Almost surely, 2120992608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120992608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139104000).

120992608 is an abundant number, since it is smaller than the sum of its proper divisors (157215392).

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

120992608 is a wasteful number, since it uses less digits than its factorization.

120992608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 120992608 is about 10999.6639948682. The cubic root of 120992608 is about 494.5986720871.

The spelling of 120992608 in words is "one hundred twenty million, nine hundred ninety-two thousand, six hundred eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 79 88 152 158 176 209 229 304 316 352 418 458 608 632 836 869 916 1264 1501 1672 1738 1832 2519 2528 3002 3344 3476 3664 4351 5038 6004 6688 6952 7328 8702 10076 12008 13904 16511 17404 18091 20152 24016 27808 33022 34808 36182 40304 47861 48032 66044 69616 72364 80608 95722 132088 139232 144728 191444 199001 264176 289456 343729 382888 398002 528352 578912 687458 765776 796004 1374916 1531552 1592008 2749832 3184016 3781019 5499664 6368032 7562038 10999328 15124076 30248152 60496304 120992608