Search a number
-
+
10679496 = 233444979
BaseRepresentation
bin101000101111…
…010011001000
3202002120111220
4220233103020
510213220441
61020522040
7156526362
oct50572310
922076456
1010679496
116034733
1236b0320
13229bc39
1415bdd32
15e0e466
hexa2f4c8

10679496 has 16 divisors (see below), whose sum is σ = 26698800. Its totient is φ = 3559824.

The previous prime is 10679489. The next prime is 10679503. The reversal of 10679496 is 69497601.

It is an interprime number because it is at equal distance from previous prime (10679489) and next prime (10679503).

It is a super-3 number, since 3×106794963 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 3 ways as a sum of consecutive naturals, for example, 222466 + ... + 222513.

It is an arithmetic number, because the mean of its divisors is an integer number (1668675).

Almost surely, 210679496 is an apocalyptic number.

It is an amenable number.

10679496 is an abundant number, since it is smaller than the sum of its proper divisors (16019304).

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

10679496 is a wasteful number, since it uses less digits than its factorization.

10679496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444988 (or 444984 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 10679496 is about 3267.9498160162. The cubic root of 10679496 is about 220.2167010788.

It can be divided in two parts, 10679 and 496, that added together give a triangular number (11175 = T149).

The spelling of 10679496 in words is "ten million, six hundred seventy-nine thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 444979 889958 1334937 1779916 2669874 3559832 5339748 10679496