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3120642120 = 2335532392053
BaseRepresentation
bin1011101000000001…
…0011100001001000
322001111001001012210
42322000103201020
522342341021440
61233354105120
7140222006661
oct27200234110
98044031183
103120642120
111361580682
1273111b1a0
133a96a47cb
1421864c368
15133e74a80
hexba013848

3120642120 has 128 divisors (see below), whose sum is σ = 9583142400. Its totient is φ = 812657664.

The previous prime is 3120642097. The next prime is 3120642169. The reversal of 3120642120 is 212460213.

It is a super-2 number, since 2×31206421202 = 19476814482236188800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1519014 + ... + 1521066.

It is an arithmetic number, because the mean of its divisors is an integer number (74868300).

Almost surely, 23120642120 is an apocalyptic number.

3120642120 is a gapful number since it is divisible by the number (30) 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 3120642120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791571200).

3120642120 is an abundant number, since it is smaller than the sum of its proper divisors (6462500280).

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

3120642120 is a wasteful number, since it uses less digits than its factorization.

3120642120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3120642120 is about 55862.7077754024. The cubic root of 3120642120 is about 1461.3289519729.

The spelling of 3120642120 in words is "three billion, one hundred twenty million, six hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 239 265 318 424 478 530 636 717 795 956 1060 1195 1272 1434 1590 1912 2053 2120 2390 2868 3180 3585 4106 4780 5736 6159 6360 7170 8212 9560 10265 12318 12667 14340 16424 20530 24636 25334 28680 30795 38001 41060 49272 50668 61590 63335 76002 82120 101336 108809 123180 126670 152004 190005 217618 246360 253340 304008 326427 380010 435236 490667 506680 544045 652854 760020 870472 981334 1088090 1305708 1472001 1520040 1632135 1962668 2176180 2453335 2611416 2944002 3264270 3925336 4352360 4906670 5888004 6528540 7360005 9813340 11776008 13057080 14720010 19626680 26005351 29440020 52010702 58880040 78016053 104021404 130026755 156032106 208042808 260053510 312064212 390080265 520107020 624128424 780160530 1040214040 1560321060 3120642120