Search a number
-
+
10670628 = 22317192753
BaseRepresentation
bin101000101101…
…001000100100
3202002010100110
4220231020210
510212430003
61020413020
7156461463
oct50551044
922063313
1010670628
116029001
1236a7170
132297ba7
1415ba9da
15e0ba03
hexa2d224

10670628 has 48 divisors (see below), whose sum is σ = 27760320. Its totient is φ = 3170304.

The previous prime is 10670623. The next prime is 10670651. The reversal of 10670628 is 82607601.

It is a happy number.

It is a super-2 number, since 2×106706282 = 227724603828768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10670595 and 10670604.

It is not an unprimeable number, because it can be changed into a prime (10670623) 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, 2500 + ... + 5252.

It is an arithmetic number, because the mean of its divisors is an integer number (578340).

Almost surely, 210670628 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 10670628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13880160).

10670628 is an abundant number, since it is smaller than the sum of its proper divisors (17089692).

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

10670628 is a wasteful number, since it uses less digits than its factorization.

10670628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2796 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 10670628 is about 3266.5927202515. The cubic root of 10670628 is about 220.1557299588.

The spelling of 10670628 in words is "ten million, six hundred seventy thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 646 969 1292 1938 2753 3876 5506 8259 11012 16518 33036 46801 52307 93602 104614 140403 156921 187204 209228 280806 313842 561612 627684 889219 1778438 2667657 3556876 5335314 10670628