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21568416 = 2531991129
BaseRepresentation
bin101001001000…
…1101110100000
31111120210022020
41102101232200
521010142131
62050141440
7351220452
oct122215640
944523266
1021568416
11111a1741
127281880
13461229c
142c162d2
151d60996
hex1491ba0

21568416 has 48 divisors (see below), whose sum is σ = 56952000. Its totient is φ = 7147008.

The previous prime is 21568409. The next prime is 21568433. The reversal of 21568416 is 61486512.

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, 18540 + ... + 19668.

It is an arithmetic number, because the mean of its divisors is an integer number (1186500).

Almost surely, 221568416 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 21568416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28476000).

21568416 is an abundant number, since it is smaller than the sum of its proper divisors (35383584).

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

21568416 is a wasteful number, since it uses less digits than its factorization.

21568416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1333 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 21568416 is about 4644.1808750306. The cubic root of 21568416 is about 278.3595231152.

The spelling of 21568416 in words is "twenty-one million, five hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 597 796 1129 1194 1592 2258 2388 3184 3387 4516 4776 6368 6774 9032 9552 13548 18064 19104 27096 36128 54192 108384 224671 449342 674013 898684 1348026 1797368 2696052 3594736 5392104 7189472 10784208 21568416