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30628 = 22131931
BaseRepresentation
bin111011110100100
31120000101
413132210
51440003
6353444
7155203
oct73644
946011
1030628
1121014
1215884
1310c30
14b23a
15911d
hex77a4

30628 has 24 divisors (see below), whose sum is σ = 62720. Its totient is φ = 12960.

The previous prime is 30593. The next prime is 30631. The reversal of 30628 is 82603.

30628 is a nontrivial binomial coefficient, being equal to C(248, 2).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

30628 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 973 + ... + 1003.

230628 is an apocalyptic number.

30628 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

30628 is the 247-th triangular number and also the 124-th hexagonal number.

30628 is the 83-rd centered nonagonal number.

It is an amenable number.

30628 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31360).

30628 is a wasteful number, since it uses less digits than its factorization.

30628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 30628 is about 175.0085712187. The cubic root of 30628 is about 31.2876452991.

The spelling of 30628 in words is "thirty thousand, six hundred twenty-eight".

Divisors: 1 2 4 13 19 26 31 38 52 62 76 124 247 403 494 589 806 988 1178 1612 2356 7657 15314 30628