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21126252 = 22372193161
BaseRepresentation
bin101000010010…
…1110001101100
31110202022202210
41100211301230
520402020002
62032450420
7344366400
oct120456154
943668683
1021126252
1110a1a514
1270a9a10
1344b8c54
142b3d100
151cc496c
hex1425c6c

21126252 has 144 divisors (see below), whose sum is σ = 63329280. Its totient is φ = 5443200.

The previous prime is 21126229. The next prime is 21126253. The reversal of 21126252 is 25262112.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (21126253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 346302 + ... + 346362.

Almost surely, 221126252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21126252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31664640).

21126252 is an abundant number, since it is smaller than the sum of its proper divisors (42203028).

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

21126252 is a wasteful number, since it uses less digits than its factorization.

21126252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 123 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 21126252 is about 4596.3302753392. The cubic root of 21126252 is about 276.4442017406. Note that the first 3 decimals are identical.

Adding to 21126252 its reverse (25262112), we get a palindrome (46388364).

The spelling of 21126252 in words is "twenty-one million, one hundred twenty-six thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 31 38 42 49 57 61 62 76 84 93 98 114 122 124 133 147 183 186 196 217 228 244 266 294 366 372 399 427 434 532 588 589 651 732 798 854 868 931 1159 1178 1281 1302 1519 1596 1708 1767 1862 1891 2318 2356 2562 2604 2793 2989 3038 3477 3534 3724 3782 4123 4557 4636 5124 5586 5673 5978 6076 6954 7068 7564 8113 8246 8967 9114 11172 11346 11956 12369 13237 13908 16226 16492 17934 18228 22692 24339 24738 26474 28861 32452 35868 35929 39711 48678 49476 52948 56791 57722 71858 79422 86583 92659 97356 107787 113582 115444 143716 158844 170373 173166 185318 215574 227164 251503 277977 340746 346332 370636 431148 503006 555954 681492 754509 1006012 1111908 1509018 1760521 3018036 3521042 5281563 7042084 10563126 21126252