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21312984 = 23371119607
BaseRepresentation
bin101000101001…
…1010111011000
31111002210220210
41101103113120
520424003414
62040451120
7346104660
oct121232730
944083823
1021312984
1111037840
127179aa0
134552c44
142b8b1a0
151d0ee59
hex14535d8

21312984 has 128 divisors (see below), whose sum is σ = 70041600. Its totient is φ = 5235840.

The previous prime is 21312979. The next prime is 21313001. The reversal of 21312984 is 48921312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34809 + ... + 35415.

It is an arithmetic number, because the mean of its divisors is an integer number (547200).

Almost surely, 221312984 is an apocalyptic number.

21312984 is a gapful number since it is divisible by the number (24) 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 21312984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35020800).

21312984 is an abundant number, since it is smaller than the sum of its proper divisors (48728616).

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

21312984 is a wasteful number, since it uses less digits than its factorization.

21312984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 649 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 21312984 is about 4616.5987479962. The cubic root of 21312984 is about 277.2562976885.

It can be divided in two parts, 2131 and 2984, that added together give a palindrome (5115).

The spelling of 21312984 in words is "twenty-one million, three hundred twelve thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 19 21 22 24 28 33 38 42 44 56 57 66 76 77 84 88 114 132 133 152 154 168 209 228 231 264 266 308 399 418 456 462 532 607 616 627 798 836 924 1064 1214 1254 1463 1596 1672 1821 1848 2428 2508 2926 3192 3642 4249 4389 4856 5016 5852 6677 7284 8498 8778 11533 11704 12747 13354 14568 16996 17556 20031 23066 25494 26708 33992 34599 35112 40062 46132 46739 50988 53416 69198 80124 80731 92264 93478 101976 126863 138396 140217 160248 161462 186956 242193 253726 276792 280434 322924 373912 380589 484386 507452 560868 645848 761178 888041 968772 1014904 1121736 1522356 1776082 1937544 2664123 3044712 3552164 5328246 7104328 10656492 21312984