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56001366 = 232172373109
BaseRepresentation
bin1101010110100…
…0001101010110
310220101011102200
43111220031112
5103314020431
65320145330
71250001201
oct325501526
9126334380
1056001366
112967a723
1216908246
13b7a9c05
14761a938
154db2ee6
hex3568356

56001366 has 96 divisors (see below), whose sum is σ = 137142720. Its totient is φ = 16422912.

The previous prime is 56001359. The next prime is 56001373. The reversal of 56001366 is 66310065.

56001366 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56001359) and next prime (56001373).

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 47 ways as a sum of consecutive naturals, for example, 513720 + ... + 513828.

It is an arithmetic number, because the mean of its divisors is an integer number (1428570).

Almost surely, 256001366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56001366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68571360).

56001366 is an abundant number, since it is smaller than the sum of its proper divisors (81141354).

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

56001366 is a wasteful number, since it uses less digits than its factorization.

56001366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 56001366 is about 7483.4060427054. The cubic root of 56001366 is about 382.5893473197.

The spelling of 56001366 in words is "fifty-six million, one thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 73 102 109 138 146 153 207 218 219 306 327 391 414 438 654 657 782 981 1173 1241 1314 1679 1853 1962 2346 2482 2507 3358 3519 3706 3723 5014 5037 5559 7038 7446 7521 7957 10074 11118 11169 15042 15111 15914 16677 22338 22563 23871 28543 30222 33354 42619 45126 47742 57086 71613 85238 85629 127857 135269 143226 171258 183011 255714 256887 270538 366022 383571 405807 513774 549033 767142 811614 1098066 1217421 1647099 2434842 3111187 3294198 6222374 9333561 18667122 28000683 56001366