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56704000 = 21053443
BaseRepresentation
bin1101100001001…
…1110000000000
310221200212021011
43120103300000
5104004012000
65343210304
71255655533
oct330236000
9127625234
1056704000
112a00a611
1216ba6994
13b994982
147760a1a
154ea12ba
hex3613c00

56704000 has 88 divisors (see below), whose sum is σ = 141783408. Its totient is φ = 22630400.

The previous prime is 56703989. The next prime is 56704003. The reversal of 56704000 is 40765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56704003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127779 + ... + 128221.

Almost surely, 256704000 is an apocalyptic number.

56704000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70891704).

56704000 is an abundant number, since it is smaller than the sum of its proper divisors (85079408).

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

56704000 is an equidigital number, since it uses as much as digits as its factorization.

56704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 56704000 is about 7530.2058404801. The cubic root of 56704000 is about 384.1827833520.

Adding to 56704000 its reverse (40765), we get a palindrome (56744765).

The spelling of 56704000 in words is "fifty-six million, seven hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 443 500 512 640 800 886 1000 1024 1280 1600 1772 2000 2215 2560 3200 3544 4000 4430 5120 6400 7088 8000 8860 11075 12800 14176 16000 17720 22150 25600 28352 32000 35440 44300 55375 56704 64000 70880 88600 110750 113408 128000 141760 177200 221500 226816 283520 354400 443000 453632 567040 708800 886000 1134080 1417600 1772000 2268160 2835200 3544000 5670400 7088000 11340800 14176000 28352000 56704000