Search a number
-
+
56080206 = 23272136773
BaseRepresentation
bin1101010111101…
…1011101001110
310220112011120200
43111323131032
5103324031311
65321554330
71250450100
oct325733516
9126464520
1056080206
1129723986
12169459a6
13b806a70
14763b570
154dcb556
hex357b74e

56080206 has 144 divisors (see below), whose sum is σ = 156605904. Its totient is φ = 14370048.

The previous prime is 56080181. The next prime is 56080231. The reversal of 56080206 is 60208065.

56080206 is a `hidden beast` number, since 560 + 80 + 20 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (56080181) and next prime (56080231).

It is a self number, because there is not a number n which added to its sum of digits gives 56080206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 768186 + ... + 768258.

It is an arithmetic number, because the mean of its divisors is an integer number (1087541).

Almost surely, 256080206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56080206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78302952).

56080206 is an abundant number, since it is smaller than the sum of its proper divisors (100525698).

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

56080206 is a wasteful number, since it uses less digits than its factorization.

56080206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 56080206 is about 7488.6718448601. The cubic root of 56080206 is about 382.7688024680.

The spelling of 56080206 in words is "fifty-six million, eighty thousand, two hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 67 73 78 91 98 117 126 134 146 147 182 201 219 234 273 294 402 438 441 469 511 546 603 637 657 819 871 882 938 949 1022 1206 1274 1314 1407 1533 1638 1742 1898 1911 2613 2814 2847 3066 3283 3577 3822 4221 4599 4891 5226 5694 5733 6097 6566 6643 7154 7839 8442 8541 9198 9782 9849 10731 11466 12194 13286 14673 15678 17082 18291 19698 19929 21462 29346 29547 32193 34237 36582 39858 42679 44019 46501 54873 59094 59787 63583 64386 68474 85358 88038 93002 102711 109746 119574 127166 128037 139503 190749 205422 239659 256074 279006 308133 381498 384111 418509 445081 479318 572247 616266 718977 768222 837018 890162 1144494 1335243 1437954 2156931 2670486 3115567 4005729 4313862 6231134 8011458 9346701 18693402 28040103 56080206