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120285704 = 23711316299
BaseRepresentation
bin1110010101101…
…10101000001000
322101100010222002
413022312220020
5221243120304
615534050132
72660261120
oct712665010
9271303862
10120285704
1161997480
1234349948
131bbc6c96
1411d91c80
15a86031e
hex72b6a08

120285704 has 64 divisors (see below), whose sum is σ = 290304000. Its totient is φ = 45345600.

The previous prime is 120285691. The next prime is 120285709. The reversal of 120285704 is 407582021.

It is not an unprimeable number, because it can be changed into a prime (120285709) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15947 + ... + 22245.

It is an arithmetic number, because the mean of its divisors is an integer number (4536000).

Almost surely, 2120285704 is an apocalyptic number.

120285704 is a gapful number since it is divisible by the number (14) 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 120285704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

120285704 is an abundant number, since it is smaller than the sum of its proper divisors (170018296).

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

120285704 is a wasteful number, since it uses less digits than its factorization.

120285704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6354 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 120285704 is about 10967.4839411781. The cubic root of 120285704 is about 493.6335527558.

The spelling of 120285704 in words is "one hundred twenty million, two hundred eighty-five thousand, seven hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 248 308 341 434 616 682 868 1364 1736 2387 2728 4774 6299 9548 12598 19096 25196 44093 50392 69289 88186 138578 176372 195269 277156 352744 390538 485023 554312 781076 970046 1366883 1562152 1940092 2147959 2733766 3880184 4295918 5467532 8591836 10935064 15035713 17183672 30071426 60142852 120285704