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53640306 = 2351937157
BaseRepresentation
bin1100110010011…
…1110001110010
310201221012200000
43030213301302
5102212442211
65153410430
71220635506
oct314476162
9121835600
1053640306
1128307835
1215b69a16
13b161335
1471a4306
154a98656
hex3327c72

53640306 has 96 divisors (see below), whose sum is σ = 131127360. Its totient is φ = 16376256.

The previous prime is 53640283. The next prime is 53640313. The reversal of 53640306 is 60304635.

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

It is a self number, because there is not a number n which added to its sum of digits gives 53640306.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341580 + ... + 341736.

It is an arithmetic number, because the mean of its divisors is an integer number (1365910).

Almost surely, 253640306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53640306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65563680).

53640306 is an abundant number, since it is smaller than the sum of its proper divisors (77487054).

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

53640306 is a wasteful number, since it uses less digits than its factorization.

53640306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 53640306 is about 7323.9542598244. The cubic root of 53640306 is about 377.1352112529.

The spelling of 53640306 in words is "fifty-three million, six hundred forty thousand, three hundred six".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 74 81 111 114 157 162 171 222 243 314 333 342 471 486 513 666 703 942 999 1026 1406 1413 1539 1998 2109 2826 2983 2997 3078 4218 4239 4617 5809 5966 5994 6327 8478 8949 8991 9234 11618 12654 12717 17427 17898 17982 18981 25434 26847 34854 37962 38151 52281 53694 56943 76302 80541 104562 110371 113886 156843 161082 170829 220742 241623 313686 331113 341658 470529 483246 662226 724869 941058 993339 1411587 1449738 1986678 2823174 2980017 5960034 8940051 17880102 26820153 53640306