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56681370 = 23451929127
BaseRepresentation
bin1101100000111…
…0001110011010
310221122201020000
43120032032122
5104002300440
65342513430
71255532544
oct330161632
9127581200
1056681370
1129aa4609
1216b95876
13b987595
147756694
154e99730
hex360e39a

56681370 has 160 divisors (see below), whose sum is σ = 167270400. Its totient is φ = 13716864.

The previous prime is 56681357. The next prime is 56681371. The reversal of 56681370 is 7318665.

56681370 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 not an unprimeable number, because it can be changed into a prime (56681371) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 446247 + ... + 446373.

It is an arithmetic number, because the mean of its divisors is an integer number (1045440).

Almost surely, 256681370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56681370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83635200).

56681370 is an abundant number, since it is smaller than the sum of its proper divisors (110589030).

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

56681370 is a wasteful number, since it uses less digits than its factorization.

56681370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 56681370 is about 7528.7030755635. The cubic root of 56681370 is about 384.1316687145.

The spelling of 56681370 in words is "fifty-six million, six hundred eighty-one thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 29 30 38 45 54 57 58 81 87 90 95 114 127 135 145 162 171 174 190 254 261 270 285 290 342 381 405 435 513 522 551 570 635 762 783 810 855 870 1026 1102 1143 1270 1305 1539 1566 1653 1710 1905 2286 2349 2413 2565 2610 2755 3078 3306 3429 3683 3810 3915 4698 4826 4959 5130 5510 5715 6858 7239 7366 7695 7830 8265 9918 10287 11049 11430 11745 12065 14478 14877 15390 16530 17145 18415 20574 21717 22098 23490 24130 24795 29754 33147 34290 36195 36830 43434 44631 49590 51435 55245 65151 66294 69977 72390 74385 89262 99441 102870 108585 110490 130302 139954 148770 165735 195453 198882 209931 217170 223155 298323 325755 331470 349885 390906 419862 446310 497205 596646 629793 651510 699770 977265 994410 1049655 1259586 1491615 1889379 1954530 2099310 2983230 3148965 3778758 5668137 6297930 9446895 11336274 18893790 28340685 56681370