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10249902 = 2341331157
BaseRepresentation
bin100111000110…
…011010101110
3201021202020000
4213012122232
510110444102
61003405130
7153060045
oct47063256
921252200
1010249902
1158709a3
1235237a6
13217b540
14150b55c
15d7701c
hex9c66ae

10249902 has 80 divisors (see below), whose sum is σ = 25694592. Its totient is φ = 3032640.

The previous prime is 10249879. The next prime is 10249937. The reversal of 10249902 is 20994201.

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

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 39 ways as a sum of consecutive naturals, for example, 65208 + ... + 65364.

Almost surely, 210249902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10249902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12847296).

10249902 is an abundant number, since it is smaller than the sum of its proper divisors (15444690).

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

10249902 is a wasteful number, since it uses less digits than its factorization.

10249902 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10249902 is about 3201.5468136512. The cubic root of 10249902 is about 217.2233819949.

The spelling of 10249902 in words is "ten million, two hundred forty-nine thousand, nine hundred two".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 81 93 117 157 162 186 234 279 314 351 403 471 558 702 806 837 942 1053 1209 1413 1674 2041 2106 2418 2511 2826 3627 4082 4239 4867 5022 6123 7254 8478 9734 10881 12246 12717 14601 18369 21762 25434 29202 32643 36738 43803 55107 63271 65286 87606 110214 126542 131409 165321 189813 262818 330642 379626 394227 569439 788454 1138878 1708317 3416634 5124951 10249902