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21313908 = 22337112233
BaseRepresentation
bin101000101001…
…1100101110100
31111002212012000
41101103211310
520424021113
62040455300
7346110450
oct121234564
944085160
1021313908
1111038500
12717a530
1345534a5
142b8b660
151d10373
hex1453974

21313908 has 144 divisors (see below), whose sum is σ = 69713280. Its totient is φ = 5512320.

The previous prime is 21313867. The next prime is 21313909. The reversal of 21313908 is 80931312.

It is a super-4 number, since 4×213139084 (a number of 30 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21313909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91360 + ... + 91592.

It is an arithmetic number, because the mean of its divisors is an integer number (484120).

Almost surely, 221313908 is an apocalyptic number.

21313908 is a gapful number since it is divisible by the number (28) 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 21313908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34856640).

21313908 is an abundant number, since it is smaller than the sum of its proper divisors (48399372).

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

21313908 is a wasteful number, since it uses less digits than its factorization.

21313908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 21313908 is about 4616.6988205860. The cubic root of 21313908 is about 277.2603043403.

The spelling of 21313908 in words is "twenty-one million, three hundred thirteen thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 121 126 132 154 189 198 231 233 242 252 297 308 363 378 396 462 466 484 594 693 699 726 756 847 924 932 1089 1188 1386 1398 1452 1631 1694 2079 2097 2178 2541 2563 2772 2796 3262 3267 3388 4158 4194 4356 4893 5082 5126 6291 6524 6534 7623 7689 8316 8388 9786 10164 10252 12582 13068 14679 15246 15378 17941 19572 22869 23067 25164 28193 29358 30492 30756 35882 44037 45738 46134 53823 56386 58716 69201 71764 84579 88074 91476 92268 107646 112772 138402 161469 169158 176148 197351 215292 253737 276804 322938 338316 394702 484407 507474 592053 645876 761211 789404 968814 1014948 1184106 1522422 1776159 1937628 2368212 3044844 3552318 5328477 7104636 10656954 21313908