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21086352 = 2433719367
BaseRepresentation
bin101000001110…
…0000010010000
31110200022001000
41100130002100
520344230402
62031542000
7344142150
oct120340220
943608030
1021086352
11109a2541
12708a900
1344a3a41
142b2c760
151cb7c1c
hex141c090

21086352 has 160 divisors (see below), whose sum is σ = 73011200. Its totient is φ = 5692032.

The previous prime is 21086347. The next prime is 21086381. The reversal of 21086352 is 25368012.

21086352 is a `hidden beast` number, since 21 + 0 + 8 + 635 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 57273 + ... + 57639.

It is an arithmetic number, because the mean of its divisors is an integer number (456320).

Almost surely, 221086352 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 21086352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36505600).

21086352 is an abundant number, since it is smaller than the sum of its proper divisors (51924848).

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

21086352 is a wasteful number, since it uses less digits than its factorization.

21086352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 21086352 is about 4591.9878048619. The cubic root of 21086352 is about 276.2700570328.

The spelling of 21086352 in words is "twenty-one million, eighty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 367 378 399 432 456 504 513 532 684 734 756 798 912 1008 1026 1064 1101 1197 1368 1468 1512 1596 2052 2128 2202 2394 2569 2736 2936 3024 3192 3303 3591 4104 4404 4788 5138 5872 6384 6606 6973 7182 7707 8208 8808 9576 9909 10276 13212 13946 14364 15414 17616 19152 19818 20552 20919 23121 26424 27892 28728 30828 39636 41104 41838 46242 48811 52848 55784 57456 61656 62757 69363 79272 83676 92484 97622 111568 123312 125514 138726 146433 158544 167352 184968 188271 195244 251028 277452 292866 334704 369936 376542 390488 439299 502056 554904 585732 753084 780976 878598 1004112 1109808 1171464 1317897 1506168 1757196 2342928 2635794 3012336 3514392 5271588 7028784 10543176 21086352