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21252504 = 23371337263
BaseRepresentation
bin101000100010…
…0100110011000
31110222201221210
41101010212120
520420040004
62035303120
7345433440
oct121044630
943881853
1021252504
1110aa6359
12714aaa0
134531560
142b73120
151cec089
hex1444998

21252504 has 128 divisors (see below), whose sum is σ = 67415040. Its totient is φ = 5432832.

The previous prime is 21252503. The next prime is 21252509. The reversal of 21252504 is 40525212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21252503) 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, 80677 + ... + 80939.

It is an arithmetic number, because the mean of its divisors is an integer number (526680).

Almost surely, 221252504 is an apocalyptic number.

21252504 is a gapful number since it is divisible by the number (24) 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 21252504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33707520).

21252504 is an abundant number, since it is smaller than the sum of its proper divisors (46162536).

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

21252504 is a wasteful number, since it uses less digits than its factorization.

21252504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 21252504 is about 4610.0438175792. The cubic root of 21252504 is about 276.9937918648.

Adding to 21252504 its reverse (40525212), we get a palindrome (61777716).

The spelling of 21252504 in words is "twenty-one million, two hundred fifty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 37 39 42 52 56 74 78 84 91 104 111 148 156 168 182 222 259 263 273 296 312 364 444 481 518 526 546 728 777 789 888 962 1036 1052 1092 1443 1554 1578 1841 1924 2072 2104 2184 2886 3108 3156 3367 3419 3682 3848 5523 5772 6216 6312 6734 6838 7364 9731 10101 10257 11046 11544 13468 13676 14728 19462 20202 20514 22092 23933 26936 27352 29193 38924 40404 41028 44184 47866 58386 68117 71799 77848 80808 82056 95732 116772 126503 136234 143598 191464 204351 233544 253006 272468 287196 379509 408702 506012 544936 574392 759018 817404 885521 1012024 1518036 1634808 1771042 2656563 3036072 3542084 5313126 7084168 10626252 21252504