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21136896 = 293311139
BaseRepresentation
bin101000010100…
…0011000000000
31110202212101000
41100220120000
520402340041
62033012000
7344442414
oct120503000
943685330
1021136896
1110a27510
1270b4000
1344c0a51
142b42d44
151cc7bb6
hex1428600

21136896 has 160 divisors (see below), whose sum is σ = 68745600. Its totient is φ = 6359040.

The previous prime is 21136891. The next prime is 21136903. The reversal of 21136896 is 69863112.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 21136896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21136891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151995 + ... + 152133.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 221136896 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 21136896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372800).

21136896 is an abundant number, since it is smaller than the sum of its proper divisors (47608704).

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

21136896 is a wasteful number, since it uses less digits than its factorization.

21136896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 155 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 21136896 is about 4597.4880097723. The cubic root of 21136896 is about 276.4906207340.

It can be divided in two parts, 2113 and 6896, that added together give a palindrome (9009).

The spelling of 21136896 in words is "twenty-one million, one hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 139 144 176 192 198 216 256 264 278 288 297 352 384 396 417 432 512 528 556 576 594 704 768 792 834 864 1056 1112 1152 1188 1251 1408 1529 1536 1584 1668 1728 2112 2224 2304 2376 2502 2816 3058 3168 3336 3456 3753 4224 4448 4587 4608 4752 5004 5632 6116 6336 6672 6912 7506 8448 8896 9174 9504 10008 12232 12672 13344 13761 13824 15012 16896 17792 18348 19008 20016 24464 25344 26688 27522 30024 35584 36696 38016 40032 41283 48928 50688 53376 55044 60048 71168 73392 76032 80064 82566 97856 106752 110088 120096 146784 152064 160128 165132 195712 213504 220176 240192 293568 320256 330264 391424 440352 480384 587136 640512 660528 782848 880704 960768 1174272 1321056 1761408 1921536 2348544 2642112 3522816 5284224 7045632 10568448 21136896