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2135696360 = 23573155663
BaseRepresentation
bin111111101001100…
…0010001111101000
312111211200121122012
41333103002033220
513333214240420
6551531215052
7103632056000
oct17723021750
95454617565
102135696360
119a65aa316
124b72a7488
13280608875
141638dd000
15c7768dc5
hex7f4c23e8

2135696360 has 64 divisors (see below), whose sum is σ = 5603904000. Its totient is φ = 732234048.

The previous prime is 2135696341. The next prime is 2135696369. The reversal of 2135696360 is 636965312.

It is a super-2 number, since 2×21356963602 = 9122397884234499200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2135696369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64112 + ... + 91551.

It is an arithmetic number, because the mean of its divisors is an integer number (87561000).

Almost surely, 22135696360 is an apocalyptic number.

2135696360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135696360 is an abundant number, since it is smaller than the sum of its proper divisors (3468207640).

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

2135696360 is a wasteful number, since it uses less digits than its factorization.

2135696360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155695 (or 155677 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 41.

The square root of 2135696360 is about 46213.5949694459. The cubic root of 2135696360 is about 1287.7943118297.

The spelling of 2135696360 in words is "two billion, one hundred thirty-five million, six hundred ninety-six thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2744 3430 6860 13720 155663 311326 622652 778315 1089641 1245304 1556630 2179282 3113260 4358564 5448205 6226520 7627487 8717128 10896410 15254974 21792820 30509948 38137435 43585640 53392409 61019896 76274870 106784818 152549740 213569636 266962045 305099480 427139272 533924090 1067848180 2135696360