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21986316 = 22341131199
BaseRepresentation
bin101001111011…
…1110000001100
31112101000120000
41103313300030
521112030231
62103124300
7354611022
oct123676014
945330500
1021986316
1111457710
127443690
13472a571
142cc4712
151de46e6
hex14f7c0c

21986316 has 120 divisors (see below), whose sum is σ = 65049600. Its totient is φ = 6415200.

The previous prime is 21986309. The next prime is 21986317. The reversal of 21986316 is 61368912.

21986316 is a `hidden beast` number, since 2 + 19 + 8 + 631 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21986317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 110385 + ... + 110583.

It is an arithmetic number, because the mean of its divisors is an integer number (542080).

Almost surely, 221986316 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 21986316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32524800).

21986316 is an abundant number, since it is smaller than the sum of its proper divisors (43063284).

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

21986316 is a wasteful number, since it uses less digits than its factorization.

21986316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 246 counting only the distinct ones).

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

The square root of 21986316 is about 4688.9568136207. The cubic root of 21986316 is about 280.1458254008.

The spelling of 21986316 in words is "twenty-one million, nine hundred eighty-six thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 81 93 99 108 124 132 162 186 198 199 279 297 324 341 372 396 398 558 594 597 682 796 837 891 1023 1116 1188 1194 1364 1674 1782 1791 2046 2189 2388 2511 3069 3348 3564 3582 4092 4378 5022 5373 6138 6169 6567 7164 8756 9207 10044 10746 12276 12338 13134 16119 18414 18507 19701 21492 24676 26268 27621 32238 36828 37014 39402 55242 55521 59103 64476 67859 74028 78804 110484 111042 118206 135718 166563 177309 203577 222084 236412 271436 333126 354618 407154 499689 610731 666252 709236 814308 999378 1221462 1832193 1998756 2442924 3664386 5496579 7328772 10993158 21986316