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21232820 = 2257374099
BaseRepresentation
bin101000011111…
…1110010110100
31110221201221202
41100333302310
520413422240
62035032032
7345322160
oct120776264
943851852
1021232820
1110a92594
12713b618
1345255cb
142b69ca0
151ce6315
hex143fcb4

21232820 has 48 divisors (see below), whose sum is σ = 52348800. Its totient is φ = 7081344.

The previous prime is 21232817. The next prime is 21232829. The reversal of 21232820 is 2823212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21232792 and 21232801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21232829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3131 + ... + 7229.

It is an arithmetic number, because the mean of its divisors is an integer number (1090600).

Almost surely, 221232820 is an apocalyptic number.

21232820 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 21232820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26174400).

21232820 is an abundant number, since it is smaller than the sum of its proper divisors (31115980).

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

21232820 is a wasteful number, since it uses less digits than its factorization.

21232820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 21232820 is about 4607.9084192288. The cubic root of 21232820 is about 276.9082485333.

The spelling of 21232820 in words is "twenty-one million, two hundred thirty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 370 518 740 1036 1295 2590 4099 5180 8198 16396 20495 28693 40990 57386 81980 114772 143465 151663 286930 303326 573860 606652 758315 1061641 1516630 2123282 3033260 4246564 5308205 10616410 21232820