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10242636 = 22317233759
BaseRepresentation
bin100111000100…
…101001001100
3201021101020220
4213010221030
510110231021
61003311340
7153026625
oct47045114
921241226
1010242636
115866498
12351b550
132178141
141508a4c
15d74cc6
hex9c4a4c

10242636 has 96 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 2939904.

The previous prime is 10242601. The next prime is 10242637. The reversal of 10242636 is 63624201.

It is not an unprimeable number, because it can be changed into a prime (10242637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173575 + ... + 173633.

It is an arithmetic number, because the mean of its divisors is an integer number (287280).

Almost surely, 210242636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10242636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

10242636 is an abundant number, since it is smaller than the sum of its proper divisors (17336244).

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

10242636 is a wasteful number, since it uses less digits than its factorization.

10242636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 10242636 is about 3200.4118484970. The cubic root of 10242636 is about 217.1720410749.

Adding to 10242636 its reverse (63624201), we get a palindrome (73866837).

It can be divided in two parts, 10242 and 636, that added together give a triangular number (10878 = T147).

The spelling of 10242636 in words is "ten million, two hundred forty-two thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 23 34 37 46 51 59 68 69 74 92 102 111 118 138 148 177 204 222 236 276 354 391 444 629 708 782 851 1003 1173 1258 1357 1564 1702 1887 2006 2183 2346 2516 2553 2714 3009 3404 3774 4012 4071 4366 4692 5106 5428 6018 6549 7548 8142 8732 10212 12036 13098 14467 16284 23069 26196 28934 37111 43401 46138 50209 57868 69207 74222 86802 92276 100418 111333 138414 148444 150627 173604 200836 222666 276828 301254 445332 602508 853553 1707106 2560659 3414212 5121318 10242636