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21259056 = 24371331157
BaseRepresentation
bin101000100011…
…0001100110000
31111000001221110
41101012030300
520420242211
62035353320
7345461520
oct121061460
944001843
1021259056
1111000275
127152840
134534530
142b75680
151cedea6
hex1446330

21259056 has 160 divisors (see below), whose sum is σ = 70217728. Its totient is φ = 5391360.

The previous prime is 21259037. The next prime is 21259093. The reversal of 21259056 is 65095212.

It is a happy number.

It is a super-2 number, since 2×212590562 = 903894924022272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135330 + ... + 135486.

Almost surely, 221259056 is an apocalyptic number.

21259056 is a gapful number since it is divisible by the number (26) 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 21259056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35108864).

21259056 is an abundant number, since it is smaller than the sum of its proper divisors (48958672).

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

21259056 is a wasteful number, since it uses less digits than its factorization.

21259056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 21259056 is about 4610.7543851305. The cubic root of 21259056 is about 277.0222540302.

The spelling of 21259056 in words is "twenty-one million, two hundred fifty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 39 42 48 52 56 62 78 84 91 93 104 112 124 156 157 168 182 186 208 217 248 273 312 314 336 364 372 403 434 471 496 546 624 628 651 728 744 806 868 942 1092 1099 1209 1256 1302 1456 1488 1612 1736 1884 2041 2184 2198 2418 2512 2604 2821 3224 3297 3472 3768 4082 4368 4396 4836 4867 5208 5642 6123 6448 6594 7536 8164 8463 8792 9672 9734 10416 11284 12246 13188 14287 14601 16328 16926 17584 19344 19468 22568 24492 26376 28574 29202 32656 33852 34069 38936 42861 45136 48984 52752 57148 58404 63271 67704 68138 77872 85722 97968 102207 114296 116808 126542 135408 136276 171444 189813 204414 228592 233616 253084 272552 342888 379626 408828 442897 506168 545104 685776 759252 817656 885794 1012336 1328691 1518504 1635312 1771588 2657382 3037008 3543176 5314764 7086352 10629528 21259056