Search a number
-
+
10678464 = 263218539
BaseRepresentation
bin101000101111…
…000011000000
3202002112002200
4220233003000
510213202324
61020513200
7156523356
oct50570300
922075080
1010678464
116033985
1236ab800
13229b624
1415bd7d6
15e0dec9
hexa2f0c0

10678464 has 42 divisors (see below), whose sum is σ = 30609540. Its totient is φ = 3559296.

The previous prime is 10678453. The next prime is 10678489. The reversal of 10678464 is 46487601.

It is a super-2 number, since 2×106784642 = 228059186798592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8694 + ... + 9845.

Almost surely, 210678464 is an apocalyptic number.

It is an amenable number.

10678464 is an abundant number, since it is smaller than the sum of its proper divisors (19931076).

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

10678464 is a wasteful number, since it uses less digits than its factorization.

10678464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18557 (or 18544 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 10678464 is about 3267.7919150399. The cubic root of 10678464 is about 220.2096073934.

The spelling of 10678464 in words is "ten million, six hundred seventy-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 18539 37078 55617 74156 111234 148312 166851 222468 296624 333702 444936 593248 667404 889872 1186496 1334808 1779744 2669616 3559488 5339232 10678464