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21628640 = 2551112289
BaseRepresentation
bin101001010000…
…0011011100000
31111200211220202
41102200123200
521014104030
62051324332
7351561155
oct122403340
944624822
1021628640
1111232a10
1272b06a8
134633817
142c3022c
151d73745
hex14a06e0

21628640 has 48 divisors (see below), whose sum is σ = 55747440. Its totient is φ = 7864320.

The previous prime is 21628627. The next prime is 21628643. The reversal of 21628640 is 4682612.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21628643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4385 + ... + 7904.

It is an arithmetic number, because the mean of its divisors is an integer number (1161405).

Almost surely, 221628640 is an apocalyptic number.

21628640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21628640 is an abundant number, since it is smaller than the sum of its proper divisors (34118800).

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

21628640 is a wasteful number, since it uses less digits than its factorization.

21628640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12315 (or 12307 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 21628640 is about 4650.6601681912. The cubic root of 21628640 is about 278.6183637144.

The spelling of 21628640 in words is "twenty-one million, six hundred twenty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 12289 24578 49156 61445 98312 122890 135179 196624 245780 270358 393248 491560 540716 675895 983120 1081432 1351790 1966240 2162864 2703580 4325728 5407160 10814320 21628640