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21493840 = 245416553
BaseRepresentation
bin101000111111…
…1100001010000
31111110000000011
41101333201100
521000300330
62044404304
7350460154
oct121774120
944400004
1021493840
1111150705
127246694
1345b7364
142bd7064
151d4882a
hex147f850

21493840 has 40 divisors (see below), whose sum is σ = 51199848. Its totient is φ = 8386560.

The previous prime is 21493837. The next prime is 21493841. The reversal of 21493840 is 4839412.

It can be written as a sum of positive squares in 4 ways, for example, as 38416 + 21455424 = 196^2 + 4632^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21493841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4 + ... + 6556.

Almost surely, 221493840 is an apocalyptic number.

21493840 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 21493840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25599924).

21493840 is an abundant number, since it is smaller than the sum of its proper divisors (29706008).

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

21493840 is a wasteful number, since it uses less digits than its factorization.

21493840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6607 (or 6601 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 21493840 is about 4636.1449502793. The cubic root of 21493840 is about 278.0383295148.

The spelling of 21493840 in words is "twenty-one million, four hundred ninety-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 6553 13106 26212 32765 52424 65530 104848 131060 262120 268673 524240 537346 1074692 1343365 2149384 2686730 4298768 5373460 10746920 21493840