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10799264 = 257371303
BaseRepresentation
bin101001001100…
…100010100000
3202022122210202
4221030202200
510231034024
61023244332
7160535510
oct51144240
922278722
1010799264
116106713
1237496a8
1323115c8
141611840
15e34bae
hexa4c8a0

10799264 has 48 divisors (see below), whose sum is σ = 24974208. Its totient is φ = 4499712.

The previous prime is 10799263. The next prime is 10799273. The reversal of 10799264 is 46299701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10799263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7637 + ... + 8939.

It is an arithmetic number, because the mean of its divisors is an integer number (520296).

Almost surely, 210799264 is an apocalyptic number.

10799264 is a gapful number since it is divisible by the number (14) 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 10799264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12487104).

10799264 is an abundant number, since it is smaller than the sum of its proper divisors (14174944).

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

10799264 is a wasteful number, since it uses less digits than its factorization.

10799264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 10799264 is about 3286.2233642892. The cubic root of 10799264 is about 221.0368686059.

The spelling of 10799264 in words is "ten million, seven hundred ninety-nine thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 1303 2072 2606 4144 5212 8288 9121 10424 18242 20848 36484 41696 48211 72968 96422 145936 192844 291872 337477 385688 674954 771376 1349908 1542752 2699816 5399632 10799264