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56903820 = 22351396823
BaseRepresentation
bin1101100100010…
…0100010001100
310222002000100220
43121010202030
5104031410240
65351351340
71260450231
oct331044214
9128060326
1056903820
112a136756
1217082550
13ba348cc
1477b3788
154ee05d0
hex364488c

56903820 has 48 divisors (see below), whose sum is σ = 160500480. Its totient is φ = 15062976.

The previous prime is 56903813. The next prime is 56903827. The reversal of 56903820 is 2830965.

56903820 = T145 + T146 + ... + T700.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56903813) and next prime (56903827).

It is not an unprimeable number, because it can be changed into a prime (56903827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4929 + ... + 11751.

It is an arithmetic number, because the mean of its divisors is an integer number (3343760).

Almost surely, 256903820 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 56903820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80250240).

56903820 is an abundant number, since it is smaller than the sum of its proper divisors (103596660).

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

56903820 is a wasteful number, since it uses less digits than its factorization.

56903820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6974 (or 6972 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 56903820 is about 7543.4620698987. The cubic root of 56903820 is about 384.6335299542.

The spelling of 56903820 in words is "fifty-six million, nine hundred three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 1390 1668 2085 2780 4170 6823 8340 13646 20469 27292 34115 40938 68230 81876 102345 136460 204690 409380 948397 1896794 2845191 3793588 4741985 5690382 9483970 11380764 14225955 18967940 28451910 56903820