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2041313640 = 233519895313
BaseRepresentation
bin111100110101011…
…1111100101101000
312021021002110212220
41321222333211220
513140034014030
6534320234040
7101404610502
oct17152774550
95237073786
102041313640
119582a5173
1248b76b920
13266bb0ac2
14155170d72
15be323a10
hex79abf968

2041313640 has 64 divisors (see below), whose sum is σ = 6446260800. Its totient is φ = 515699712.

The previous prime is 2041313633. The next prime is 2041313653. The reversal of 2041313640 is 463131402.

It is a super-2 number, since 2×20413136402 = 8333922753700099200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2041313640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 445377 + ... + 449936.

It is an arithmetic number, because the mean of its divisors is an integer number (100722825).

Almost surely, 22041313640 is an apocalyptic number.

2041313640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2041313640 is an abundant number, since it is smaller than the sum of its proper divisors (4404947160).

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

2041313640 is a wasteful number, since it uses less digits than its factorization.

2041313640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895346 (or 895342 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2041313640 is about 45180.8990614397. The cubic root of 2041313640 is about 1268.5373120470.

The spelling of 2041313640 in words is "two billion, forty-one million, three hundred thirteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 895313 1790626 2685939 3581252 4476565 5371878 7162504 8953130 10743756 13429695 17010947 17906260 21487512 26859390 34021894 35812520 51032841 53718780 68043788 85054735 102065682 107437560 136087576 170109470 204131364 255164205 340218940 408262728 510328410 680437880 1020656820 2041313640