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21253840 = 2452311551
BaseRepresentation
bin101000100010…
…0111011010000
31110222210210021
41101010323100
520420110330
62035313224
7345440356
oct121047320
943883707
1021253840
1110aa7363
12714b814
13453204a
142b737d6
151cec67a
hex1444ed0

21253840 has 40 divisors (see below), whose sum is σ = 51568128. Its totient is φ = 8131200.

The previous prime is 21253763. The next prime is 21253849. The reversal of 21253840 is 4835212.

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 (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21253849) 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, 3936 + ... + 7615.

Almost surely, 221253840 is an apocalyptic number.

21253840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21253840 is an abundant number, since it is smaller than the sum of its proper divisors (30314288).

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

21253840 is a wasteful number, since it uses less digits than its factorization.

21253840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11587 (or 11581 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 21253840 is about 4610.1887163109. The cubic root of 21253840 is about 276.9995959801. Note that the first 3 decimals are identical.

It can be divided in two parts, 2 and 1253840, that multiplied together give a triangular number (2507680 = T2239).

The spelling of 21253840 in words is "twenty-one million, two hundred fifty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 11551 23102 46204 57755 92408 115510 184816 231020 265673 462040 531346 924080 1062692 1328365 2125384 2656730 4250768 5313460 10626920 21253840