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21713340 = 223511167197
BaseRepresentation
bin101001011010…
…1000110111100
31111212011002210
41102311012330
521024311330
62053220420
7352363125
oct122650674
944764083
1021713340
1111290610
127331710
13466323c
142c5304c
151d8d8b0
hex14b51bc

21713340 has 96 divisors (see below), whose sum is σ = 67060224. Its totient is φ = 5205760.

The previous prime is 21713297. The next prime is 21713359. The reversal of 21713340 is 4331712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110122 + ... + 110318.

It is an arithmetic number, because the mean of its divisors is an integer number (698544).

Almost surely, 221713340 is an apocalyptic number.

21713340 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 21713340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33530112).

21713340 is an abundant number, since it is smaller than the sum of its proper divisors (45346884).

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

21713340 is a wasteful number, since it uses less digits than its factorization.

21713340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 21713340 is about 4659.7575044202. The cubic root of 21713340 is about 278.9815894636.

The spelling of 21713340 in words is "twenty-one million, seven hundred thirteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 167 197 220 330 334 394 501 591 660 668 788 835 985 1002 1182 1670 1837 1970 2004 2167 2364 2505 2955 3340 3674 3940 4334 5010 5511 5910 6501 7348 8668 9185 10020 10835 11022 11820 13002 18370 21670 22044 26004 27555 32505 32899 36740 43340 55110 65010 65798 98697 110220 130020 131596 164495 197394 328990 361889 394788 493485 657980 723778 986970 1085667 1447556 1809445 1973940 2171334 3618890 4342668 5428335 7237780 10856670 21713340