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1345806560 = 25572171659
BaseRepresentation
bin101000000110111…
…0110000011100000
310110210101001112102
41100031312003200
510224011302220
6341313145532
745231111200
oct12015660340
93423331472
101345806560
1163074442a
1231685b2a8
13185a85757
14caa46400
157d23c775
hex503760e0

1345806560 has 72 divisors (see below), whose sum is σ = 3698586360. Its totient is φ = 461416704.

The previous prime is 1345806557. The next prime is 1345806589. The reversal of 1345806560 is 656085431.

It is a super-2 number, since 2×13458065602 = 3622390593878067200, 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 11 ways as a sum of consecutive naturals, for example, 77990 + ... + 93669.

It is an arithmetic number, because the mean of its divisors is an integer number (51369255).

Almost surely, 21345806560 is an apocalyptic number.

1345806560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345806560 is an abundant number, since it is smaller than the sum of its proper divisors (2352779800).

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

1345806560 is a wasteful number, since it uses less digits than its factorization.

1345806560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171688 (or 171673 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 1345806560 is about 36685.2362674687. The cubic root of 1345806560 is about 1104.0639096938.

The spelling of 1345806560 in words is "one billion, three hundred forty-five million, eight hundred six thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 171659 343318 686636 858295 1201613 1373272 1716590 2403226 2746544 3433180 4806452 5493088 6008065 6866360 8411291 9612904 12016130 13732720 16822582 19225808 24032260 27465440 33645164 38451616 42056455 48064520 67290328 84112910 96129040 134580656 168225820 192258080 269161312 336451640 672903280 1345806560