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120327680 = 295114273
BaseRepresentation
bin1110010110000…
…00111000000000
322101102021112202
413023000320000
5221300441210
615535012332
72660524364
oct713007000
9271367482
10120327680
1161a15a70
123436a0a8
131bc10115
1411da32a4
15a86c9a5
hex72c0e00

120327680 has 80 divisors (see below), whose sum is σ = 314805744. Its totient is φ = 43745280.

The previous prime is 120327679. The next prime is 120327707. The reversal of 120327680 is 86723021.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26024 + ... + 30296.

Almost surely, 2120327680 is an apocalyptic number.

120327680 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 120327680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157402872).

120327680 is an abundant number, since it is smaller than the sum of its proper divisors (194478064).

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

120327680 is an equidigital number, since it uses as much as digits as its factorization.

120327680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4307 (or 4291 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 120327680 is about 10969.3974310351. The cubic root of 120327680 is about 493.6909670383.

The spelling of 120327680 in words is "one hundred twenty million, three hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1280 1408 1760 2560 2816 3520 4273 5632 7040 8546 14080 17092 21365 28160 34184 42730 47003 68368 85460 94006 136736 170920 188012 235015 273472 341840 376024 470030 546944 683680 752048 940060 1093888 1367360 1504096 1880120 2187776 2734720 3008192 3760240 5469440 6016384 7520480 10938880 12032768 15040960 24065536 30081920 60163840 120327680