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21386688 = 2632329167
BaseRepresentation
bin101000110010…
…1010111000000
31111020120000120
41101211113000
520433333223
62042220240
7346532601
oct121452700
944216016
1021386688
1111088154
1271b4680
13457a65b
142ba9da8
151d26be3
hex14655c0

21386688 has 112 divisors (see below), whose sum is σ = 61447680. Its totient is φ = 6544384.

The previous prime is 21386671. The next prime is 21386689. The reversal of 21386688 is 88668312.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21386689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127981 + ... + 128147.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 221386688 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 21386688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30723840).

21386688 is an abundant number, since it is smaller than the sum of its proper divisors (40060992).

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

21386688 is a wasteful number, since it uses less digits than its factorization.

21386688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 21386688 is about 4624.5743587924. The cubic root of 21386688 is about 277.5755301261.

The spelling of 21386688 in words is "twenty-one million, three hundred eighty-six thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 116 138 167 174 184 192 232 276 334 348 368 464 501 552 667 668 696 736 928 1002 1104 1334 1336 1392 1472 1856 2001 2004 2208 2668 2672 2784 3841 4002 4008 4416 4843 5336 5344 5568 7682 8004 8016 9686 10672 10688 11523 14529 15364 16008 16032 19372 21344 23046 29058 30728 32016 32064 38744 42688 46092 58116 61456 64032 77488 92184 111389 116232 122912 128064 154976 184368 222778 232464 245824 309952 334167 368736 445556 464928 668334 737472 891112 929856 1336668 1782224 2673336 3564448 5346672 7128896 10693344 21386688