Search a number
-
+
10663828 = 2271743521
BaseRepresentation
bin101000101011…
…011110010100
3202001210000121
4220223132110
510212220303
61020321324
7156432610
oct50533624
922053017
1010663828
11602398a
1236a3244
132294a76
1415b8340
15e099bd
hexa2b794

10663828 has 48 divisors (see below), whose sum is σ = 23151744. Its totient is φ = 4193280.

The previous prime is 10663823. The next prime is 10663841. The reversal of 10663828 is 82836601.

10663828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106638282 = 227434455227168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 10663793 and 10663802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10663823) 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, 20208 + ... + 20728.

It is an arithmetic number, because the mean of its divisors is an integer number (482328).

Almost surely, 210663828 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 10663828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11575872).

10663828 is an abundant number, since it is smaller than the sum of its proper divisors (12487916).

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

10663828 is a wasteful number, since it uses less digits than its factorization.

10663828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 10663828 is about 3265.5517144887. The cubic root of 10663828 is about 220.1089542963.

The spelling of 10663828 in words is "ten million, six hundred sixty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 17 28 34 43 68 86 119 172 238 301 476 521 602 731 1042 1204 1462 2084 2924 3647 5117 7294 8857 10234 14588 17714 20468 22403 35428 44806 61999 89612 123998 156821 247996 313642 380851 627284 761702 1523404 2665957 5331914 10663828