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21634320 = 2435109827
BaseRepresentation
bin101001010000…
…1110100010000
31111201010201010
41102201310100
521014244240
62051410520
7351613551
oct122416420
944633633
1021634320
1111237204
1272b3a40
134636296
142c32328
151d75280
hex14a1d10

21634320 has 80 divisors (see below), whose sum is σ = 67763520. Its totient is φ = 5709312.

The previous prime is 21634309. The next prime is 21634337. The reversal of 21634320 is 2343612.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25747 + ... + 26573.

It is an arithmetic number, because the mean of its divisors is an integer number (847044).

Almost surely, 221634320 is an apocalyptic number.

21634320 is a gapful number since it is divisible by the number (20) 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 21634320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33881760).

21634320 is an abundant number, since it is smaller than the sum of its proper divisors (46129200).

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

21634320 is a wasteful number, since it uses less digits than its factorization.

21634320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 21634320 is about 4651.2707940949. The cubic root of 21634320 is about 278.6427513441.

Adding to 21634320 its reverse (2343612), we get a palindrome (23977932).

The spelling of 21634320 in words is "twenty-one million, six hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 109 120 218 240 327 436 545 654 827 872 1090 1308 1635 1654 1744 2180 2481 2616 3270 3308 4135 4360 4962 5232 6540 6616 8270 8720 9924 12405 13080 13232 16540 19848 24810 26160 33080 39696 49620 66160 90143 99240 180286 198480 270429 360572 450715 540858 721144 901430 1081716 1352145 1442288 1802860 2163432 2704290 3605720 4326864 5408580 7211440 10817160 21634320