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21730920 = 2335473853
BaseRepresentation
bin101001011100…
…1011001101000
31111220001012220
41102321121220
521030342140
62053434040
7352465311
oct122713150
944801186
1021730920
11112a2842
12733b920
13466b243
142c59608
151d93bd0
hex14b9668

21730920 has 64 divisors (see below), whose sum is σ = 66597120. Its totient is φ = 5670144.

The previous prime is 21730903. The next prime is 21730957. The reversal of 21730920 is 2903712.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3714 + ... + 7566.

It is an arithmetic number, because the mean of its divisors is an integer number (1040580).

Almost surely, 221730920 is an apocalyptic number.

21730920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21730920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33298560).

21730920 is an abundant number, since it is smaller than the sum of its proper divisors (44866200).

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

21730920 is a wasteful number, since it uses less digits than its factorization.

21730920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3914 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 21730920 is about 4661.6434870118. The cubic root of 21730920 is about 279.0568607532.

The spelling of 21730920 in words is "twenty-one million, seven hundred thirty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 3853 5640 7706 11559 15412 19265 23118 30824 38530 46236 57795 77060 92472 115590 154120 181091 231180 362182 462360 543273 724364 905455 1086546 1448728 1810910 2173092 2716365 3621820 4346184 5432730 7243640 10865460 21730920