Search a number
-
+
10858272 = 253195953
BaseRepresentation
bin101001011010…
…111100100000
3202102122202020
4221122330200
510234431042
61024421440
7161202525
oct51327440
922378666
1010858272
116146a87
123777880
132332419
14162914c
15e473ec
hexa5af20

10858272 has 48 divisors (see below), whose sum is σ = 30008160. Its totient is φ = 3428352.

The previous prime is 10858249. The next prime is 10858273. The reversal of 10858272 is 27285801.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (10858273) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1153 + ... + 4800.

It is an arithmetic number, because the mean of its divisors is an integer number (625170).

Almost surely, 210858272 is an apocalyptic number.

10858272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10858272 is an abundant number, since it is smaller than the sum of its proper divisors (19149888).

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

10858272 is a wasteful number, since it uses less digits than its factorization.

10858272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5985 (or 5977 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 10858272 is about 3295.1892206670. The cubic root of 10858272 is about 221.4387249890.

The spelling of 10858272 in words is "ten million, eight hundred fifty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 5953 11906 17859 23812 35718 47624 71436 95248 113107 142872 190496 226214 285744 339321 452428 571488 678642 904856 1357284 1809712 2714568 3619424 5429136 10858272