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10253364 = 22311173449
BaseRepresentation
bin100111000111…
…010000110100
3201021220222020
4213013100310
510111101424
61003433140
7153103122
oct47072064
921256866
1010253364
115873560
1235257b0
13217cca4
14150c912
15d78079
hex9c7434

10253364 has 48 divisors (see below), whose sum is σ = 26308800. Its totient is φ = 3082240.

The previous prime is 10253351. The next prime is 10253371. The reversal of 10253364 is 46335201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22612 + ... + 23060.

It is an arithmetic number, because the mean of its divisors is an integer number (548100).

Almost surely, 210253364 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 10253364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13154400).

10253364 is an abundant number, since it is smaller than the sum of its proper divisors (16055436).

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

10253364 is a wasteful number, since it uses less digits than its factorization.

10253364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 10253364 is about 3202.0874441526. The cubic root of 10253364 is about 217.2478356497.

Adding to 10253364 its reverse (46335201), we get a palindrome (56588565).

The spelling of 10253364 in words is "ten million, two hundred fifty-three thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 173 346 449 519 692 898 1038 1347 1796 1903 2076 2694 3806 4939 5388 5709 7612 9878 11418 14817 19756 22836 29634 59268 77677 155354 233031 310708 466062 854447 932124 1708894 2563341 3417788 5126682 10253364