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10253808 = 2432312297
BaseRepresentation
bin100111000111…
…010111110000
3201021221120200
4213013113300
510111110213
61003435200
7153104325
oct47072760
921257520
1010253808
115873924
123525b00
132180256
14150cb4c
15d78273
hex9c75f0

10253808 has 60 divisors (see below), whose sum is σ = 29635008. Its totient is φ = 3306240.

The previous prime is 10253807. The next prime is 10253809. The reversal of 10253808 is 80835201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10253807) and next prime (10253809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10253807) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3316 + ... + 5612.

Almost surely, 210253808 is an apocalyptic number.

10253808 is a gapful number since it is divisible by the number (18) 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 10253808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14817504).

10253808 is an abundant number, since it is smaller than the sum of its proper divisors (19381200).

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

10253808 is a wasteful number, since it uses less digits than its factorization.

10253808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10253808 is about 3202.1567731765. The cubic root of 10253808 is about 217.2509714221.

The spelling of 10253808 in words is "ten million, two hundred fifty-three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 2297 4464 4594 6891 9188 13782 18376 20673 27564 36752 41346 55128 71207 82692 110256 142414 165384 213621 284828 330768 427242 569656 640863 854484 1139312 1281726 1708968 2563452 3417936 5126904 10253808