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21253540 = 22571137373
BaseRepresentation
bin101000100010…
…0110110100100
31110222210101011
41101010312210
520420103130
62035312004
7345436450
oct121046644
943883334
1021253540
1110aa7110
12714b604
134531b79
142b73660
151cec52a
hex1444da4

21253540 has 96 divisors (see below), whose sum is σ = 57302784. Its totient is φ = 6428160.

The previous prime is 21253537. The next prime is 21253543. The reversal of 21253540 is 4535212.

It is an interprime number because it is at equal distance from previous prime (21253537) and next prime (21253543).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (21253543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56794 + ... + 57166.

It is an arithmetic number, because the mean of its divisors is an integer number (596904).

Almost surely, 221253540 is an apocalyptic number.

21253540 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 21253540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28651392).

21253540 is an abundant number, since it is smaller than the sum of its proper divisors (36049244).

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

21253540 is a wasteful number, since it uses less digits than its factorization.

21253540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 21253540 is about 4610.1561795670. The cubic root of 21253540 is about 276.9982926819.

Adding to 21253540 its reverse (4535212), we get a palindrome (25788752).

It can be divided in two parts, 2125 and 3540, that added together give a palindrome (5665).

The spelling of 21253540 in words is "twenty-one million, two hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 37 44 55 70 74 77 110 140 148 154 185 220 259 308 370 373 385 407 518 740 746 770 814 1036 1295 1492 1540 1628 1865 2035 2590 2611 2849 3730 4070 4103 5180 5222 5698 7460 8140 8206 10444 11396 13055 13801 14245 16412 20515 26110 27602 28490 28721 41030 52220 55204 56980 57442 69005 82060 96607 114884 138010 143605 151811 193214 276020 287210 303622 386428 483035 574420 607244 759055 966070 1062677 1518110 1932140 2125354 3036220 4250708 5313385 10626770 21253540