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2713661940 = 22351110140709
BaseRepresentation
bin1010000110111111…
…0011000111110100
321000010020022100210
42201233303013310
521024144140230
61125135105420
7124150513563
oct24157630764
97003208323
102713661940
111172878420
12638972270
1334328b032
141ba58bbda
1510d382eb0
hexa1bf31f4

2713661940 has 96 divisors (see below), whose sum is σ = 8371278720. Its totient is φ = 651328000.

The previous prime is 2713661933. The next prime is 2713661963. The reversal of 2713661940 is 491663172.

It is a super-2 number, since 2×27136619402 = 14727922249209127200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46306 + ... + 87014.

It is an arithmetic number, because the mean of its divisors is an integer number (87200820).

Almost surely, 22713661940 is an apocalyptic number.

2713661940 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 2713661940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4185639360).

2713661940 is an abundant number, since it is smaller than the sum of its proper divisors (5657616780).

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

2713661940 is a wasteful number, since it uses less digits than its factorization.

2713661940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40833 (or 40831 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 2713661940 is about 52092.8204266193. The cubic root of 2713661940 is about 1394.8213334726.

The spelling of 2713661940 in words is "two billion, seven hundred thirteen million, six hundred sixty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 33330 40709 66660 81418 122127 162836 203545 244254 407090 447799 488508 610635 814180 895598 1221270 1343397 1791196 2238995 2442540 2686794 4111609 4477990 5373588 6716985 8223218 8955980 12334827 13433970 16446436 20558045 24669654 26867940 41116090 45227699 49339308 61674135 82232180 90455398 123348270 135683097 180910796 226138495 246696540 271366194 452276990 542732388 678415485 904553980 1356830970 2713661940