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560196672 = 2637616833
BaseRepresentation
bin100001011000111…
…110110001000000
31110001002221100220
4201120332301000
52121402243142
6131330543040
716611410310
oct4130766100
91401087326
10560196672
11268242062
12137737a80
138c0a0729
1454585440
15342a92ec
hex2163ec40

560196672 has 112 divisors (see below), whose sum is σ = 1721949312. Its totient is φ = 157409280.

The previous prime is 560196667. The next prime is 560196673. The reversal of 560196672 is 276691065.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×5601966722 = 627640622639751168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (560196673) 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, 78568 + ... + 85400.

Almost surely, 2560196672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 560196672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860974656).

560196672 is an abundant number, since it is smaller than the sum of its proper divisors (1161752640).

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

560196672 is a wasteful number, since it uses less digits than its factorization.

560196672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6916 (or 6906 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 560196672 is about 23668.4742220533. The cubic root of 560196672 is about 824.3535416943.

The spelling of 560196672 in words is "five hundred sixty million, one hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 168 183 192 224 244 336 366 427 448 488 672 732 854 976 1281 1344 1464 1708 1952 2562 2928 3416 3904 5124 5856 6832 6833 10248 11712 13664 13666 20496 20499 27328 27332 40992 40998 47831 54664 81984 81996 95662 109328 143493 163992 191324 218656 286986 327984 382648 416813 437312 573972 655968 765296 833626 1147944 1250439 1311936 1530592 1667252 2295888 2500878 2917691 3061184 3334504 4591776 5001756 5835382 6669008 8753073 9183552 10003512 11670764 13338016 17506146 20007024 23341528 26676032 35012292 40014048 46683056 70024584 80028096 93366112 140049168 186732224 280098336 560196672