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21312540 = 22325167709
BaseRepresentation
bin101000101001…
…1010000011100
31111002210022100
41101103100130
520424000130
62040445100
7346103454
oct121232034
944083270
1021312540
1111037477
127179790
134552992
142b8ad64
151d0ec60
hex145341c

21312540 has 72 divisors (see below), whose sum is σ = 65126880. Its totient is φ = 5641344.

The previous prime is 21312539. The next prime is 21312587. The reversal of 21312540 is 4521312.

It is a super-2 number, since 2×213125402 = 908448722503200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29706 + ... + 30414.

It is an arithmetic number, because the mean of its divisors is an integer number (904540).

Almost surely, 221312540 is an apocalyptic number.

21312540 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 21312540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32563440).

21312540 is an abundant number, since it is smaller than the sum of its proper divisors (43814340).

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

21312540 is a wasteful number, since it uses less digits than its factorization.

21312540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 891 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 21312540 is about 4616.5506603957. The cubic root of 21312540 is about 277.2543723730.

Adding to 21312540 its reverse (4521312), we get a palindrome (25833852).

The spelling of 21312540 in words is "twenty-one million, three hundred twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 668 709 835 1002 1418 1503 1670 2004 2127 2505 2836 3006 3340 3545 4254 5010 6012 6381 7090 7515 8508 10020 10635 12762 14180 15030 21270 25524 30060 31905 42540 63810 118403 127620 236806 355209 473612 592015 710418 1065627 1184030 1420836 1776045 2131254 2368060 3552090 4262508 5328135 7104180 10656270 21312540