Search a number
-
+
10676328 = 23313191801
BaseRepresentation
bin101000101110…
…100001101000
3202002102011120
4220232201220
510213120303
61020455240
7156514215
oct50564150
922072146
1010676328
116032313
1236aa520
13229a670
1415bcb0c
15e0d553
hexa2e868

10676328 has 64 divisors (see below), whose sum is σ = 30273600. Its totient is φ = 3110400.

The previous prime is 10676311. The next prime is 10676329. The reversal of 10676328 is 82367601.

It is a super-2 number, since 2×106763282 = 227967959127168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10676329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5028 + ... + 6828.

It is an arithmetic number, because the mean of its divisors is an integer number (473025).

Almost surely, 210676328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10676328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15136800).

10676328 is an abundant number, since it is smaller than the sum of its proper divisors (19597272).

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

10676328 is a wasteful number, since it uses less digits than its factorization.

10676328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 10676328 is about 3267.4650724989. The cubic root of 10676328 is about 220.1949236621.

The spelling of 10676328 in words is "ten million, six hundred seventy-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1801 1976 2964 3602 5403 5928 7204 10806 14408 21612 23413 34219 43224 46826 68438 70239 93652 102657 136876 140478 187304 205314 273752 280956 410628 444847 561912 821256 889694 1334541 1779388 2669082 3558776 5338164 10676328