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21693216 = 253892539
BaseRepresentation
bin101001011000…
…0001100100000
31111211010111110
41102300030200
521023140331
62052543320
7352250346
oct122601440
944733443
1021693216
1111277486
127321b40
13465702c
142c49996
151d87946
hex14b0320

21693216 has 48 divisors (see below), whose sum is σ = 57607200. Its totient is φ = 7147008.

The previous prime is 21693197. The next prime is 21693227. The reversal of 21693216 is 61239612.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7275 + ... + 9813.

It is an arithmetic number, because the mean of its divisors is an integer number (1200150).

Almost surely, 221693216 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 21693216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28803600).

21693216 is an abundant number, since it is smaller than the sum of its proper divisors (35913984).

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

21693216 is a wasteful number, since it uses less digits than its factorization.

21693216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2633 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 21693216 is about 4657.5976640324. The cubic root of 21693216 is about 278.8953757838.

The spelling of 21693216 in words is "twenty-one million, six hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2539 2848 4272 5078 7617 8544 10156 15234 20312 30468 40624 60936 81248 121872 225971 243744 451942 677913 903884 1355826 1807768 2711652 3615536 5423304 7231072 10846608 21693216