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56727360 = 2632519697
BaseRepresentation
bin1101100001100…
…1011101000000
310221202001022100
43120121131000
5104010233420
65343510400
71256113614
oct330313500
9127661270
1056727360
112a026118
1216bb8400
13b9a24b1
147769344
154ea8190
hex3619740

56727360 has 84 divisors (see below), whose sum is σ = 195128388. Its totient is φ = 15126528.

The previous prime is 56727347. The next prime is 56727371. The reversal of 56727360 is 6372765.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 13483584 + 43243776 = 3672^2 + 6576^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6969 + ... + 12728.

It is an arithmetic number, because the mean of its divisors is an integer number (2322957).

Almost surely, 256727360 is an apocalyptic number.

It is an amenable number.

56727360 is an abundant number, since it is smaller than the sum of its proper divisors (138401028).

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

56727360 is a wasteful number, since it uses less digits than its factorization.

56727360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19720 (or 19707 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 56727360 is about 7531.7567671825. The cubic root of 56727360 is about 384.2355325861.

The spelling of 56727360 in words is "fifty-six million, seven hundred twenty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 19697 39394 59091 78788 98485 118182 157576 177273 196970 236364 295455 315152 354546 393940 472728 590910 630304 709092 787880 886365 945456 1181820 1260608 1418184 1575760 1772730 1890912 2363640 2836368 3151520 3545460 3781824 4727280 5672736 6303040 7090920 9454560 11345472 14181840 18909120 28363680 56727360