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20265258 = 23131722931
BaseRepresentation
bin100110101001…
…1100100101010
31102010120201010
41031103210222
520141442013
62002204350
7334152246
oct115234452
942116633
1020265258
1110491652
1269536b6
1342770a0
142997426
151ba47c3
hex135392a

20265258 has 96 divisors (see below), whose sum is σ = 49512960. Its totient is φ = 5483520.

The previous prime is 20265253. The next prime is 20265269. The reversal of 20265258 is 85256202.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20265253) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 653703 + ... + 653733.

It is an arithmetic number, because the mean of its divisors is an integer number (515760).

Almost surely, 220265258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20265258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24756480).

20265258 is an abundant number, since it is smaller than the sum of its proper divisors (29247702).

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

20265258 is a wasteful number, since it uses less digits than its factorization.

20265258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 20265258 is about 4501.6950141030. The cubic root of 20265258 is about 272.6365300738.

The spelling of 20265258 in words is "twenty million, two hundred sixty-five thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 13 17 26 29 31 34 39 51 58 62 78 87 93 102 174 186 221 289 377 403 442 493 527 578 663 754 806 867 899 986 1054 1131 1209 1326 1479 1581 1734 1798 2262 2418 2697 2958 3162 3757 5394 6409 6851 7514 8381 8959 11271 11687 12818 13702 15283 16762 17918 19227 20553 22542 23374 25143 26877 30566 35061 38454 41106 45849 50286 53754 70122 91698 108953 116467 198679 217906 232934 259811 326859 349401 397358 519622 596037 653718 698802 779433 1192074 1558866 3377543 6755086 10132629 20265258