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56396700 = 223252223281
BaseRepresentation
bin1101011100100…
…0101110011100
310221010020201200
43113020232130
5103414143300
65332435500
71253235603
oct327105634
9127106650
1056396700
112991a748
1216a78b90
13b8b7b39
1476c0a3a
154e40200
hex35c8b9c

56396700 has 108 divisors (see below), whose sum is σ = 178196928. Its totient is φ = 14918400.

The previous prime is 56396699. The next prime is 56396707. The reversal of 56396700 is 769365.

It is a happy number.

56396700 is a `hidden beast` number, since 563 + 96 + 7 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56396707) 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, 200560 + ... + 200840.

Almost surely, 256396700 is an apocalyptic number.

56396700 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 56396700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89098464).

56396700 is an abundant number, since it is smaller than the sum of its proper divisors (121800228).

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

56396700 is a wasteful number, since it uses less digits than its factorization.

56396700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 56396700 is about 7509.7736317415. The cubic root of 56396700 is about 383.4875162167.

The spelling of 56396700 in words is "fifty-six million, three hundred ninety-six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 223 225 281 300 446 450 562 669 843 892 900 1115 1124 1338 1405 1686 2007 2230 2529 2676 2810 3345 3372 4014 4215 4460 5058 5575 5620 6690 7025 8028 8430 10035 10116 11150 12645 13380 14050 16725 16860 20070 21075 22300 25290 28100 33450 40140 42150 50175 50580 62663 63225 66900 84300 100350 125326 126450 187989 200700 250652 252900 313315 375978 563967 626630 751956 939945 1127934 1253260 1566575 1879890 2255868 2819835 3133150 3759780 4699725 5639670 6266300 9399450 11279340 14099175 18798900 28198350 56396700