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21372820 = 22572113193
BaseRepresentation
bin101000110000…
…1111110010100
31111012211222221
41101201332110
520432412240
62042032124
7346444300
oct121417624
944184887
1021372820
1111078797
1271a8644
134574251
142ba4d00
151d22a4a
hex1461f94

21372820 has 72 divisors (see below), whose sum is σ = 52945704. Its totient is φ = 7225344.

The previous prime is 21372811. The next prime is 21372839. The reversal of 21372820 is 2827312.

It can be written as a sum of positive squares in 4 ways, for example, as 414736 + 20958084 = 644^2 + 4578^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110644 + ... + 110836.

It is an arithmetic number, because the mean of its divisors is an integer number (735357).

Almost surely, 221372820 is an apocalyptic number.

21372820 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 21372820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26472852).

21372820 is an abundant number, since it is smaller than the sum of its proper divisors (31572884).

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

21372820 is a wasteful number, since it uses less digits than its factorization.

21372820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 21372820 is about 4623.0747344165. The cubic root of 21372820 is about 277.5155200583.

The spelling of 21372820 in words is "twenty-one million, three hundred seventy-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 113 140 193 196 226 245 386 452 490 565 772 791 965 980 1130 1351 1582 1930 2260 2702 3164 3860 3955 5404 5537 6755 7910 9457 11074 13510 15820 18914 21809 22148 27020 27685 37828 43618 47285 55370 87236 94570 109045 110740 152663 189140 218090 305326 436180 610652 763315 1068641 1526630 2137282 3053260 4274564 5343205 10686410 21372820