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21721896 = 23327247131
BaseRepresentation
bin101001011011…
…1001100101000
31111212120211200
41102313030220
521030100041
62053324200
7352430100
oct122671450
944776750
1021721896
1111296a89
127336660
1346670c1
142c56200
151d911b6
hex14b7328

21721896 has 144 divisors (see below), whose sum is σ = 70424640. Its totient is φ = 6027840.

The previous prime is 21721879. The next prime is 21721901. The reversal of 21721896 is 69812712.

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 21721896.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 165751 + ... + 165881.

It is an arithmetic number, because the mean of its divisors is an integer number (489060).

Almost surely, 221721896 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 21721896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35212320).

21721896 is an abundant number, since it is smaller than the sum of its proper divisors (48702744).

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

21721896 is a wasteful number, since it uses less digits than its factorization.

21721896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 21721896 is about 4660.6754875232. The cubic root of 21721896 is about 279.0182282768.

The spelling of 21721896 in words is "twenty-one million, seven hundred twenty-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 47 49 56 63 72 84 94 98 126 131 141 147 168 188 196 252 262 282 294 329 376 392 393 423 441 504 524 564 588 658 786 846 882 917 987 1048 1128 1176 1179 1316 1572 1692 1764 1834 1974 2303 2358 2632 2751 2961 3144 3384 3528 3668 3948 4606 4716 5502 5922 6157 6419 6909 7336 7896 8253 9212 9432 11004 11844 12314 12838 13818 16506 18424 18471 19257 20727 22008 23688 24628 25676 27636 33012 36942 38514 41454 43099 49256 51352 55272 55413 57771 66024 73884 77028 82908 86198 110826 115542 129297 147768 154056 165816 172396 221652 231084 258594 301693 344792 387891 443304 462168 517188 603386 775782 905079 1034376 1206772 1551564 1810158 2413544 2715237 3103128 3620316 5430474 7240632 10860948 21721896