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120380392 = 231129431097
BaseRepresentation
bin1110010110011…
…01101111101000
322101111221212001
413023031233220
5221304133032
615540100344
72661134146
oct713155750
9271457761
10120380392
1161a51630
12343946b4
131bc2b102
1411db8596
15a87d3e7
hex72cdbe8

120380392 has 64 divisors (see below), whose sum is σ = 260884800. Its totient is φ = 51555840.

The previous prime is 120380357. The next prime is 120380399. The reversal of 120380392 is 293083021.

It is a self number, because there is not a number n which added to its sum of digits gives 120380392.

It is not an unprimeable number, because it can be changed into a prime (120380399) 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, 109188 + ... + 110284.

It is an arithmetic number, because the mean of its divisors is an integer number (4076325).

Almost surely, 2120380392 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 120380392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130442400).

120380392 is an abundant number, since it is smaller than the sum of its proper divisors (140504408).

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

120380392 is a wasteful number, since it uses less digits than its factorization.

120380392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 120380392 is about 10971.7998523487. The cubic root of 120380392 is about 493.7630469874.

The spelling of 120380392 in words is "one hundred twenty million, three hundred eighty thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 22 29 43 44 58 86 88 116 172 232 319 344 473 638 946 1097 1247 1276 1892 2194 2494 2552 3784 4388 4988 8776 9976 12067 13717 24134 27434 31813 47171 48268 54868 63626 94342 96536 109736 127252 188684 254504 349943 377368 518881 699886 1037762 1367959 1399772 2075524 2735918 2799544 4151048 5471836 10943672 15047549 30095098 60190196 120380392