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21134844 = 2234374143
BaseRepresentation
bin101000010011…
…1110111111100
31110202202120000
41100213313330
520402303334
62032554300
7344433423
oct120476774
943682500
1021134844
1110a25a15
1270b2990
1344bcb33
142b422ba
151cc7299
hex1427dfc

21134844 has 120 divisors (see below), whose sum is σ = 59479728. Its totient is φ = 6531840.

The previous prime is 21134843. The next prime is 21134857. The reversal of 21134844 is 44843112.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21134843) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 491487 + ... + 491529.

Almost surely, 221134844 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 21134844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29739864).

21134844 is an abundant number, since it is smaller than the sum of its proper divisors (38344884).

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

21134844 is a wasteful number, since it uses less digits than its factorization.

21134844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 126 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 21134844 is about 4597.2648390103. The cubic root of 21134844 is about 276.4816730765.

Adding to 21134844 its reverse (44843112), we get a palindrome (65977956).

The spelling of 21134844 in words is "twenty-one million, one hundred thirty-four thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 41 43 54 74 81 82 86 108 111 123 129 148 162 164 172 222 246 258 324 333 369 387 444 492 516 666 738 774 999 1107 1161 1332 1476 1517 1548 1591 1763 1998 2214 2322 2997 3034 3182 3321 3483 3526 3996 4428 4551 4644 4773 5289 5994 6068 6364 6642 6966 7052 9102 9546 10578 11988 13284 13653 13932 14319 15867 18204 19092 21156 27306 28638 31734 40959 42957 47601 54612 57276 63468 65231 81918 85914 95202 122877 128871 130462 142803 163836 171828 190404 195693 245754 257742 260924 285606 391386 491508 515484 571212 587079 782772 1174158 1761237 2348316 3522474 5283711 7044948 10567422 21134844