Search a number
-
+
10828380 = 2235180473
BaseRepresentation
bin101001010011…
…101001011100
3202101010202010
4221103221130
510233002010
61024031220
7161016423
oct51235134
922333663
1010828380
116126582
123762510
132321934
14161c2ba
15e3d620
hexa53a5c

10828380 has 24 divisors (see below), whose sum is σ = 30319632. Its totient is φ = 2887552.

The previous prime is 10828379. The next prime is 10828381. The reversal of 10828380 is 8382801.

10828380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10828379) and next prime (10828381).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10828381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90177 + ... + 90296.

It is an arithmetic number, because the mean of its divisors is an integer number (1263318).

Almost surely, 210828380 is an apocalyptic number.

10828380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10828380 is an abundant number, since it is smaller than the sum of its proper divisors (19491252).

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

10828380 is a wasteful number, since it uses less digits than its factorization.

10828380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180485 (or 180483 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 10828380 is about 3290.6503916399. The cubic root of 10828380 is about 221.2353368941.

The spelling of 10828380 in words is "ten million, eight hundred twenty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 180473 360946 541419 721892 902365 1082838 1804730 2165676 2707095 3609460 5414190 10828380