Search a number
-
+
10678016 = 2853787
BaseRepresentation
bin101000101110…
…111100000000
3202002111111002
4220232330000
510213144031
61020511132
7156522146
oct50567400
922074432
1010678016
116033608
1236ab4a8
13229b36b
1415bd596
15e0dccb
hexa2ef00

10678016 has 36 divisors (see below), whose sum is σ = 21744072. Its totient is φ = 5231616.

The previous prime is 10678009. The next prime is 10678021. The reversal of 10678016 is 61087601.

It is a super-2 number, since 2×106780162 = 228040051392512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10678016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13175 + ... + 13961.

It is an arithmetic number, because the mean of its divisors is an integer number (604002).

Almost surely, 210678016 is an apocalyptic number.

10678016 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 10678016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10872036).

10678016 is an abundant number, since it is smaller than the sum of its proper divisors (11066056).

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

10678016 is an frugal number, since it uses more digits than its factorization.

10678016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 10678016 is about 3267.7233665046. The cubic root of 10678016 is about 220.2065278218.

The spelling of 10678016 in words is "ten million, six hundred seventy-eight thousand, sixteen".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 787 848 1574 1696 3148 3392 6296 6784 12592 13568 25184 41711 50368 83422 100736 166844 201472 333688 667376 1334752 2669504 5339008 10678016