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21639384 = 23321361379
BaseRepresentation
bin101001010001…
…1000011011000
31111201101122200
41102203003120
521014430014
62051450200
7351634404
oct122430330
944641580
1021639384
111123aa98
1272b6960
134638690
142c34104
151d76a09
hex14a30d8

21639384 has 96 divisors (see below), whose sum is σ = 64318800. Its totient is φ = 6531840.

The previous prime is 21639383. The next prime is 21639427. The reversal of 21639384 is 48393612.

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

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 (21639383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56907 + ... + 57285.

Almost surely, 221639384 is an apocalyptic number.

21639384 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 21639384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32159400).

21639384 is an abundant number, since it is smaller than the sum of its proper divisors (42679416).

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

21639384 is a wasteful number, since it uses less digits than its factorization.

21639384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 458 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 21639384 is about 4651.8151296026. The cubic root of 21639384 is about 278.6644905192.

The spelling of 21639384 in words is "twenty-one million, six hundred thirty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 61 72 78 104 117 122 156 183 234 244 312 366 379 468 488 549 732 758 793 936 1098 1137 1464 1516 1586 2196 2274 2379 3032 3172 3411 4392 4548 4758 4927 6344 6822 7137 9096 9516 9854 13644 14274 14781 19032 19708 23119 27288 28548 29562 39416 44343 46238 57096 59124 69357 88686 92476 118248 138714 177372 184952 208071 277428 300547 354744 416142 554856 601094 832284 901641 1202188 1664568 1803282 2404376 2704923 3606564 5409846 7213128 10819692 21639384