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56454060 = 223513157461
BaseRepresentation
bin1101011101011…
…0101110101100
310221020011102010
43113112232230
5103423012220
65334001220
71253565045
oct327265654
9127204363
1056454060
1129959853
1216aa6210
13b907c90
1476d78cc
154e521e0
hex35d6bac

56454060 has 96 divisors (see below), whose sum is σ = 171686592. Its totient is φ = 13777920.

The previous prime is 56454049. The next prime is 56454077. The reversal of 56454060 is 6045465.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122230 + ... + 122690.

It is an arithmetic number, because the mean of its divisors is an integer number (1788402).

Almost surely, 256454060 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 56454060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85843296).

56454060 is an abundant number, since it is smaller than the sum of its proper divisors (115232532).

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

56454060 is a wasteful number, since it uses less digits than its factorization.

56454060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 56454060 is about 7513.5916844077. The cubic root of 56454060 is about 383.6174847587.

It can be divided in two parts, 564540 and 60, that multiplied together give a square (33872400 = 58202).

The spelling of 56454060 in words is "fifty-six million, four hundred fifty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 157 195 260 314 390 461 471 628 780 785 922 942 1383 1570 1844 1884 2041 2305 2355 2766 3140 4082 4610 4710 5532 5993 6123 6915 8164 9220 9420 10205 11986 12246 13830 17979 20410 23972 24492 27660 29965 30615 35958 40820 59930 61230 71916 72377 89895 119860 122460 144754 179790 217131 289508 359580 361885 434262 723770 868524 940901 1085655 1447540 1881802 2171310 2822703 3763604 4342620 4704505 5645406 9409010 11290812 14113515 18818020 28227030 56454060