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10135296 = 28325383
BaseRepresentation
bin100110101010…
…011100000000
3201001221000100
4212222130000
510043312141
61001122400
7152101653
oct46523400
921057010
1010135296
1157a2886
123489400
13213b322
1414bb89a
15d530b6
hex9aa700

10135296 has 108 divisors (see below), whose sum is σ = 30132648. Its totient is φ = 3274752.

The previous prime is 10135289. The next prime is 10135313. The reversal of 10135296 is 69253101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122071 + ... + 122153.

It is an arithmetic number, because the mean of its divisors is an integer number (279006).

Almost surely, 210135296 is an apocalyptic number.

10135296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10135296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15066324).

10135296 is an abundant number, since it is smaller than the sum of its proper divisors (19997352).

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

10135296 is an equidigital number, since it uses as much as digits as its factorization.

10135296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 10135296 is about 3183.5979645678. The cubic root of 10135296 is about 216.4107410820.

Adding to 10135296 its reverse (69253101), we get a palindrome (79388397).

The spelling of 10135296 in words is "ten million, one hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 83 96 106 128 144 159 166 192 212 249 256 288 318 332 384 424 477 498 576 636 664 747 768 848 954 996 1152 1272 1328 1494 1696 1908 1992 2304 2544 2656 2988 3392 3816 3984 4399 5088 5312 5976 6784 7632 7968 8798 10176 10624 11952 13197 13568 15264 15936 17596 20352 21248 23904 26394 30528 31872 35192 39591 40704 47808 52788 61056 63744 70384 79182 95616 105576 122112 140768 158364 191232 211152 281536 316728 422304 563072 633456 844608 1126144 1266912 1689216 2533824 3378432 5067648 10135296