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10928820 = 2235726021
BaseRepresentation
bin101001101100…
…001010110100
3202120020112010
4221230022310
510244210240
61030124220
7161615310
oct51541264
922506463
1010928820
116194a91
1237b0670
132358576
141646b40
15e5d280
hexa6c2b4

10928820 has 48 divisors (see below), whose sum is σ = 34973568. Its totient is φ = 2497920.

The previous prime is 10928803. The next prime is 10928843. The reversal of 10928820 is 2882901.

It is a Smith number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12591 + ... + 13430.

It is an arithmetic number, because the mean of its divisors is an integer number (728616).

Almost surely, 210928820 is an apocalyptic number.

10928820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10928820 is an abundant number, since it is smaller than the sum of its proper divisors (24044748).

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

10928820 is a wasteful number, since it uses less digits than its factorization.

10928820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26040 (or 26038 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 10928820 is about 3305.8765857182. The cubic root of 10928820 is about 221.9172648441.

The spelling of 10928820 in words is "ten million, nine hundred twenty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 26021 52042 78063 104084 130105 156126 182147 260210 312252 364294 390315 520420 546441 728588 780630 910735 1092882 1561260 1821470 2185764 2732205 3642940 5464410 10928820