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21141252 = 223211197271
BaseRepresentation
bin101000010100…
…1011100000100
31110210002100100
41100221130010
520403010002
62033044100
7344461206
oct120513404
943702310
1021141252
1110a2a810
1270b6630
1344c2a22
142b44776
151cc911c
hex1429704

21141252 has 72 divisors (see below), whose sum is σ = 58810752. Its totient is φ = 6350400.

The previous prime is 21141233. The next prime is 21141257. The reversal of 21141252 is 25214112.

It is a super-2 number, since 2×211412522 = 893905072255008, which contains 22 as substring.

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 (21141257) 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, 77877 + ... + 78147.

It is an arithmetic number, because the mean of its divisors is an integer number (816816).

Almost surely, 221141252 is an apocalyptic number.

21141252 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 21141252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29405376).

21141252 is an abundant number, since it is smaller than the sum of its proper divisors (37669500).

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

21141252 is a wasteful number, since it uses less digits than its factorization.

21141252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 484 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 21141252 is about 4597.9617223287. The cubic root of 21141252 is about 276.5096129647.

Adding to 21141252 its reverse (25214112), we get a palindrome (46355364).

The spelling of 21141252 in words is "twenty-one million, one hundred forty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 197 198 271 394 396 542 591 788 813 1084 1182 1626 1773 2167 2364 2439 2981 3252 3546 4334 4878 5962 6501 7092 8668 8943 9756 11924 13002 17886 19503 26004 26829 35772 39006 53387 53658 78012 106774 107316 160161 213548 320322 480483 587257 640644 960966 1174514 1761771 1921932 2349028 3523542 5285313 7047084 10570626 21141252