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21256704 = 29327659
BaseRepresentation
bin101000100010…
…1101000000000
31110222221201100
41101011220000
520420203304
62035334400
7345451620
oct121055000
943887640
1021256704
1110aa9527
127151400
134533441
142b74880
151ced439
hex1445a00

21256704 has 120 divisors (see below), whose sum is σ = 70218720. Its totient is φ = 6064128.

The previous prime is 21256693. The next prime is 21256709. The reversal of 21256704 is 40765212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21256709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31927 + ... + 32585.

It is an arithmetic number, because the mean of its divisors is an integer number (585156).

Almost surely, 221256704 is an apocalyptic number.

21256704 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 21256704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35109360).

21256704 is an abundant number, since it is smaller than the sum of its proper divisors (48962016).

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

21256704 is an equidigital number, since it uses as much as digits as its factorization.

21256704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 21256704 is about 4610.4993221993. The cubic root of 21256704 is about 277.0120375155.

The spelling of 21256704 in words is "twenty-one million, two hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 659 672 768 896 1008 1152 1318 1344 1536 1792 1977 2016 2304 2636 2688 3584 3954 4032 4608 4613 5272 5376 5931 7908 8064 9226 10544 10752 11862 13839 15816 16128 18452 21088 23724 27678 31632 32256 36904 41517 42176 47448 55356 63264 73808 83034 84352 94896 110712 126528 147616 166068 168704 189792 221424 253056 295232 332136 337408 379584 442848 506112 590464 664272 759168 885696 1012224 1180928 1328544 1518336 1771392 2361856 2657088 3036672 3542784 5314176 7085568 10628352 21256704