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56963970 = 23257212917
BaseRepresentation
bin1101100101001…
…1001110000010
310222012001212200
43121103032002
5104040321340
65352534030
71261120500
oct331231602
9128161780
1056963970
112a177968
12170b1316
13ba560bb
1477cb670
155003330
hex3653382

56963970 has 72 divisors (see below), whose sum is σ = 172300284. Its totient is φ = 13019328.

The previous prime is 56963947. The next prime is 56963971. The reversal of 56963970 is 7936965.

56963970 is a `hidden beast` number, since 5 + 6 + 9 + 639 + 7 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56836521 + 127449 = 7539^2 + 357^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (56963971) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2049 + ... + 10868.

Almost surely, 256963970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56963970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86150142).

56963970 is an abundant number, since it is smaller than the sum of its proper divisors (115336314).

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

56963970 is a wasteful number, since it uses less digits than its factorization.

56963970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12944 (or 12934 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 56963970 is about 7547.4479130366. The cubic root of 56963970 is about 384.7690074422.

The spelling of 56963970 in words is "fifty-six million, nine hundred sixty-three thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 12917 25834 38751 64585 77502 90419 116253 129170 180838 193755 232506 271257 387510 452095 542514 581265 632933 813771 904190 1162530 1265866 1356285 1627542 1898799 2712570 3164665 3797598 4068855 5696397 6329330 8137710 9493995 11392794 18987990 28481985 56963970