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56390670 = 23257219673
BaseRepresentation
bin1101011100011…
…1010000001110
310221002221110100
43113013100032
5103414000140
65332351530
71253212200
oct327072016
9127087410
1056390670
1129916166
1216a755a6
13b8b517b
1476bc770
154e3d530
hex35c740e

56390670 has 144 divisors (see below), whose sum is σ = 179796240. Its totient is φ = 12192768.

The previous prime is 56390639. The next prime is 56390699. The reversal of 56390670 is 7609365.

It is a happy number.

56390670 is a `hidden beast` number, since 563 + 90 + 6 + 7 + 0 = 666.

56390670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83454 + ... + 84126.

It is an arithmetic number, because the mean of its divisors is an integer number (1248585).

Almost surely, 256390670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56390670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89898120).

56390670 is an abundant number, since it is smaller than the sum of its proper divisors (123405570).

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

56390670 is a wasteful number, since it uses less digits than its factorization.

56390670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 56390670 is about 7509.3721441942. The cubic root of 56390670 is about 383.4738480875.

The spelling of 56390670 in words is "fifty-six million, three hundred ninety thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 19 21 30 35 38 42 45 49 57 63 70 90 95 98 105 114 126 133 147 171 190 210 245 266 285 294 315 342 399 441 490 570 630 665 673 735 798 855 882 931 1197 1330 1346 1470 1710 1862 1995 2019 2205 2394 2793 3365 3990 4038 4410 4655 4711 5586 5985 6057 6730 8379 9310 9422 10095 11970 12114 12787 13965 14133 16758 20190 23555 25574 27930 28266 30285 32977 38361 41895 42399 47110 60570 63935 65954 70665 76722 83790 84798 89509 98931 115083 127870 141330 164885 179018 191805 197862 211995 230166 268527 296793 329770 383610 423990 447545 494655 537054 575415 593586 626563 805581 895090 989310 1150830 1253126 1342635 1483965 1611162 1879689 2685270 2967930 3132815 3759378 4027905 5639067 6265630 8055810 9398445 11278134 18796890 28195335 56390670