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10307934 = 23272132931
BaseRepresentation
bin100111010100…
…100101011110
3201101200211100
4213110211132
510114323214
61004533530
7153421200
oct47244536
921350740
1010307934
11590055a
1235512a6
13219ba90
141524770
15d89309
hex9d495e

10307934 has 144 divisors (see below), whose sum is σ = 29877120. Its totient is φ = 2540160.

The previous prime is 10307909. The next prime is 10307951. The reversal of 10307934 is 43970301.

It is a junction number, because it is equal to n+sod(n) for n = 10307898 and 10307907.

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 71 ways as a sum of consecutive naturals, for example, 332499 + ... + 332529.

It is an arithmetic number, because the mean of its divisors is an integer number (207480).

Almost surely, 210307934 is an apocalyptic number.

10307934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10307934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14938560).

10307934 is an abundant number, since it is smaller than the sum of its proper divisors (19569186).

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

10307934 is a wasteful number, since it uses less digits than its factorization.

10307934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 10307934 is about 3210.5971407201. The cubic root of 10307934 is about 217.6325628667.

The spelling of 10307934 in words is "ten million, three hundred seven thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 29 31 39 42 49 58 62 63 78 87 91 93 98 117 126 147 174 182 186 203 217 234 261 273 279 294 377 403 406 434 441 522 546 558 609 637 651 754 806 819 882 899 1131 1209 1218 1274 1302 1421 1519 1638 1798 1827 1911 1953 2262 2418 2639 2697 2821 2842 3038 3393 3627 3654 3822 3906 4263 4557 5278 5394 5642 5733 6293 6786 7254 7917 8091 8463 8526 9114 11466 11687 12586 12789 13671 15834 16182 16926 18473 18879 19747 23374 23751 25389 25578 27342 35061 36946 37758 39494 44051 47502 50778 55419 56637 59241 70122 81809 88102 105183 110838 113274 118482 132153 163618 166257 177723 210366 245427 264306 332514 355446 396459 490854 572663 736281 792918 1145326 1472562 1717989 3435978 5153967 10307934