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21362820 = 2235463769
BaseRepresentation
bin101000101111…
…1100010000100
31111012100021120
41101133202010
520432102240
62041513540
7346403163
oct121374204
944170246
1021362820
1111071226
1271a28b0
13456c82b
142ba13da
151d1ead0
hex145f884

21362820 has 48 divisors (see below), whose sum is σ = 60023040. Its totient is φ = 5677056.

The previous prime is 21362753. The next prime is 21362827. The reversal of 21362820 is 2826312.

It is not an unprimeable number, because it can be changed into a prime (21362827) by changing a digit.

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, 27396 + ... + 28164.

It is an arithmetic number, because the mean of its divisors is an integer number (1250480).

Almost surely, 221362820 is an apocalyptic number.

21362820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21362820 is an abundant number, since it is smaller than the sum of its proper divisors (38660220).

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

21362820 is a wasteful number, since it uses less digits than its factorization.

21362820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 21362820 is about 4621.9930765850. The cubic root of 21362820 is about 277.4722316180.

The spelling of 21362820 in words is "twenty-one million, three hundred sixty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 463 769 926 1389 1538 1852 2307 2315 2778 3076 3845 4614 4630 5556 6945 7690 9228 9260 11535 13890 15380 23070 27780 46140 356047 712094 1068141 1424188 1780235 2136282 3560470 4272564 5340705 7120940 10681410 21362820