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21042252 = 22327117591
BaseRepresentation
bin101000001000…
…1010001001100
31110121001112200
41100101101030
520341323002
62031001500
7343566450
oct120212114
943531480
1021042252
11109723a0
127069290
13448994a
142b1a660
151ca9b1c
hex141144c

21042252 has 72 divisors (see below), whose sum is σ = 66323712. Its totient is φ = 5464800.

The previous prime is 21042251. The next prime is 21042283. The reversal of 21042252 is 25224012.

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

It is not an unprimeable number, because it can be changed into a prime (21042251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1024 + ... + 6567.

Almost surely, 221042252 is an apocalyptic number.

21042252 is a gapful number since it is divisible by the number (22) 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 21042252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33161856).

21042252 is an abundant number, since it is smaller than the sum of its proper divisors (45281460).

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

21042252 is a wasteful number, since it uses less digits than its factorization.

21042252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7619 (or 7614 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 21042252 is about 4587.1834495690. The cubic root of 21042252 is about 276.0773255300.

Adding to 21042252 its reverse (25224012), we get a palindrome (46266264).

It can be divided in two parts, 2104 and 2252, that added together give a square (4356 = 662).

The spelling of 21042252 in words is "twenty-one million, forty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 7591 15182 22773 30364 45546 53137 68319 83501 91092 106274 136638 159411 167002 212548 250503 273276 318822 334004 478233 501006 584507 637644 751509 956466 1002012 1169014 1503018 1753521 1912932 2338028 3006036 3507042 5260563 7014084 10521126 21042252