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21426944 = 287111087
BaseRepresentation
bin101000110111…
…1001100000000
31111022121020112
41101233030000
520441130234
62043130452
7350061140
oct121571400
944277215
1021426944
1111105420
127213a28
134592a86
142bba920
151d33ace
hex146f300

21426944 has 72 divisors (see below), whose sum is σ = 53372928. Its totient is φ = 8340480.

The previous prime is 21426931. The next prime is 21426973. The reversal of 21426944 is 44962412.

It is a super-2 number, since 2×214269442 = 918227858358272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 21426944.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19169 + ... + 20255.

Almost surely, 221426944 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 21426944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26686464).

21426944 is an abundant number, since it is smaller than the sum of its proper divisors (31945984).

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

21426944 is a wasteful number, since it uses less digits than its factorization.

21426944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1107 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 21426944 is about 4628.9247131488. The cubic root of 21426944 is about 277.7495804030.

The spelling of 21426944 in words is "twenty-one million, four hundred twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1087 1232 1408 1792 2174 2464 2816 4348 4928 7609 8696 9856 11957 15218 17392 19712 23914 30436 34784 47828 60872 69568 83699 95656 121744 139136 167398 191312 243488 278272 334796 382624 486976 669592 765248 973952 1339184 1530496 1947904 2678368 3060992 5356736 10713472 21426944