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2713465120 = 255431812179
BaseRepresentation
bin1010000110111100…
…0011000100100000
321000002212022101011
42201233003010200
521024121340440
61125130550304
7124146034012
oct24157030440
97002768334
102713465120
111172753563
12638898394
1334321c582
141ba53a1b2
1510d3449ea
hexa1bc3120

2713465120 has 96 divisors (see below), whose sum is σ = 6598912320. Its totient is φ = 1053803520.

The previous prime is 2713465103. The next prime is 2713465121. The reversal of 2713465120 is 215643172.

It is a super-2 number, since 2×27134651202 = 14725785914913228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2713465121) 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, 1244191 + ... + 1246369.

It is an arithmetic number, because the mean of its divisors is an integer number (68738670).

Almost surely, 22713465120 is an apocalyptic number.

2713465120 is a gapful number since it is divisible by the number (20) 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 2713465120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3299456160).

2713465120 is an abundant number, since it is smaller than the sum of its proper divisors (3885447200).

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

2713465120 is a wasteful number, since it uses less digits than its factorization.

2713465120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 2713465120 is about 52090.9312644725. The cubic root of 2713465120 is about 1394.7876108525.

The spelling of 2713465120 in words is "two billion, seven hundred thirteen million, four hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 181 215 344 362 430 688 724 860 905 1376 1448 1720 1810 2179 2896 3440 3620 4358 5792 6880 7240 7783 8716 10895 14480 15566 17432 21790 28960 31132 34864 38915 43580 62264 69728 77830 87160 93697 124528 155660 174320 187394 249056 311320 348640 374788 394399 468485 622640 749576 788798 936970 1245280 1499152 1577596 1873940 1971995 2998304 3155192 3747880 3943990 6310384 7495760 7887980 12620768 14991520 15775960 16959157 31551920 33918314 63103840 67836628 84795785 135673256 169591570 271346512 339183140 542693024 678366280 1356732560 2713465120