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56076030 = 23351719643
BaseRepresentation
bin1101010111101…
…0011011111110
310220111221212000
43111322123332
5103323413110
65321523130
71250431653
oct325723376
9126457760
1056076030
112972082a
12169434a6
13b804baa
147639c2a
154dca1c0
hex357a6fe

56076030 has 128 divisors (see below), whose sum is σ = 166924800. Its totient is φ = 13312512.

The previous prime is 56076023. The next prime is 56076043. The reversal of 56076030 is 3067065.

56076030 is a `hidden beast` number, since 56 + 0 + 7 + 603 + 0 = 666.

It is a super-2 number, since 2×560760302 = 6289042281121800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 56075985 and 56076003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86889 + ... + 87531.

It is an arithmetic number, because the mean of its divisors is an integer number (1304100).

Almost surely, 256076030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56076030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83462400).

56076030 is an abundant number, since it is smaller than the sum of its proper divisors (110848770).

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

56076030 is a wasteful number, since it uses less digits than its factorization.

56076030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 56076030 is about 7488.3930185321. The cubic root of 56076030 is about 382.7593013010.

The spelling of 56076030 in words is "fifty-six million, seventy-six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 27 30 34 38 45 51 54 57 85 90 95 102 114 135 153 170 171 190 255 270 285 306 323 342 459 510 513 570 643 646 765 855 918 969 1026 1286 1530 1615 1710 1929 1938 2295 2565 2907 3215 3230 3858 4590 4845 5130 5787 5814 6430 8721 9645 9690 10931 11574 12217 14535 17361 17442 19290 21862 24434 28935 29070 32793 34722 36651 43605 54655 57870 61085 65586 73302 86805 87210 98379 109310 109953 122170 163965 173610 183255 196758 207689 219906 295137 327930 329859 366510 415378 491895 549765 590274 623067 659718 983790 1038445 1099530 1246134 1475685 1649295 1869201 2076890 2951370 3115335 3298590 3738402 5607603 6230670 9346005 11215206 18692010 28038015 56076030