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10399136 = 251131953
BaseRepresentation
bin100111101010…
…110110100000
3201120022221012
4213222312200
510130233021
61010520052
7154251116
oct47526640
921508835
1010399136
115963030
123596028
132201447
141549ab6
15da635b
hex9eada0

10399136 has 48 divisors (see below), whose sum is σ = 23079168. Its totient is φ = 4569600.

The previous prime is 10399127. The next prime is 10399171. The reversal of 10399136 is 63199301.

10399136 = T56 + T57 + ... + T396.

10399136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10436 + ... + 11388.

It is an arithmetic number, because the mean of its divisors is an integer number (480816).

Almost surely, 210399136 is an apocalyptic number.

10399136 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 10399136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11539584).

10399136 is an abundant number, since it is smaller than the sum of its proper divisors (12680032).

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

10399136 is a wasteful number, since it uses less digits than its factorization.

10399136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 32.

The square root of 10399136 is about 3224.7691390238. The cubic root of 10399136 is about 218.2725318073.

The spelling of 10399136 in words is "ten million, three hundred ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 953 992 1364 1906 2728 3812 5456 7624 10483 10912 15248 20966 29543 30496 41932 59086 83864 118172 167728 236344 324973 335456 472688 649946 945376 1299892 2599784 5199568 10399136