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120880704 = 2637531697
BaseRepresentation
bin1110011010001…
…11111001000000
322102110101011010
413031013321000
5221421140304
615554520520
72665316610
oct715077100
9272411133
10120880704
116226350a
1234596140
131c074a59
14120a8a40
15a92b789
hex7347e40

120880704 has 112 divisors (see below), whose sum is σ = 372636288. Its totient is φ = 33865728.

The previous prime is 120880681. The next prime is 120880723. The reversal of 120880704 is 407088021.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1208807042 = 29224289199071232, which contains 22 as substring.

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, 70384 + ... + 72080.

Almost surely, 2120880704 is an apocalyptic number.

120880704 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 120880704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186318144).

120880704 is an abundant number, since it is smaller than the sum of its proper divisors (251755584).

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

120880704 is a wasteful number, since it uses less digits than its factorization.

120880704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 120880704 is about 10994.5761173408. The cubic root of 120880704 is about 494.4461430943.

The spelling of 120880704 in words is "one hundred twenty million, eight hundred eighty thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 64 84 96 106 112 159 168 192 212 224 318 336 371 424 448 636 672 742 848 1113 1272 1344 1484 1696 1697 2226 2544 2968 3392 3394 4452 5088 5091 5936 6788 8904 10176 10182 11872 11879 13576 17808 20364 23744 23758 27152 35616 35637 40728 47516 54304 71232 71274 81456 89941 95032 108608 142548 162912 179882 190064 269823 285096 325824 359764 380128 539646 570192 629587 719528 760256 1079292 1140384 1259174 1439056 1888761 2158584 2280768 2518348 2878112 3777522 4317168 5036696 5756224 7555044 8634336 10073392 15110088 17268672 20146784 30220176 40293568 60440352 120880704