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56180736 = 21433127
BaseRepresentation
bin1101011001010…
…0000000000000
310220201021111000
43112110000000
5103340240421
65324052000
71251346143
oct326240000
9126637430
1056180736
1129792467
1216994000
13b840751
14766605a
154deb226
hex3594000

56180736 has 120 divisors (see below), whose sum is σ = 167767040. Its totient is φ = 18579456.

The previous prime is 56180731. The next prime is 56180741. The reversal of 56180736 is 63708165.

56180736 is a `hidden beast` number, since 5 + 618 + 0 + 7 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (56180731) and next prime (56180741).

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

It is a self number, because there is not a number n which added to its sum of digits gives 56180736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56180731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 442305 + ... + 442431.

Almost surely, 256180736 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 56180736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83883520).

56180736 is an abundant number, since it is smaller than the sum of its proper divisors (111586304).

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

56180736 is an equidigital number, since it uses as much as digits as its factorization.

56180736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 56180736 is about 7495.3809776422. The cubic root of 56180736 is about 382.9973844713.

The spelling of 56180736 in words is "fifty-six million, one hundred eighty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 128 144 192 216 254 256 288 381 384 432 508 512 576 762 768 864 1016 1024 1143 1152 1524 1536 1728 2032 2048 2286 2304 3048 3072 3429 3456 4064 4096 4572 4608 6096 6144 6858 6912 8128 8192 9144 9216 12192 12288 13716 13824 16256 16384 18288 18432 24384 24576 27432 27648 32512 36576 36864 48768 49152 54864 55296 65024 73152 73728 97536 109728 110592 130048 146304 147456 195072 219456 221184 260096 292608 390144 438912 442368 520192 585216 780288 877824 1040384 1170432 1560576 1755648 2080768 2340864 3121152 3511296 4681728 6242304 7022592 9363456 14045184 18726912 28090368 56180736