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56330640 = 243458693
BaseRepresentation
bin1101011011100…
…0100110010000
310220222220010000
43112320212100
5103410040030
65331210000
71252542162
oct326704620
9126886100
1056330640
1129885053
1216a46900
13b893a52
1476a4932
154e2a860
hex35b8990

56330640 has 100 divisors (see below), whose sum is σ = 195667164. Its totient is φ = 15019776.

The previous prime is 56330621. The next prime is 56330653. The reversal of 56330640 is 4603365.

It can be written as a sum of positive squares in 2 ways, for example, as 10036224 + 46294416 = 3168^2 + 6804^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2134 + ... + 10826.

Almost surely, 256330640 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 56330640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97833582).

56330640 is an abundant number, since it is smaller than the sum of its proper divisors (139336524).

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

56330640 is a wasteful number, since it uses less digits than its factorization.

56330640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8718 (or 8703 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 56330640 is about 7505.3740746215. The cubic root of 56330640 is about 383.3377256376.

The spelling of 56330640 in words is "fifty-six million, three hundred thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 8693 17386 26079 34772 43465 52158 69544 78237 86930 104316 130395 139088 156474 173860 208632 234711 260790 312948 347720 391185 417264 469422 521580 625896 695440 704133 782370 938844 1043160 1173555 1251792 1408266 1564740 1877688 2086320 2347110 2816532 3129480 3520665 3755376 4694220 5633064 6258960 7041330 9388440 11266128 14082660 18776880 28165320 56330640