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21257376 = 253724519
BaseRepresentation
bin101000100010…
…1110010100000
31110222222122020
41101011302200
520420214001
62035341440
7345453600
oct121056240
943888566
1021257376
1110aa9a88
127151880
13453383a
142b74c00
151ced736
hex1445ca0

21257376 has 72 divisors (see below), whose sum is σ = 64925280. Its totient is φ = 6072192.

The previous prime is 21257347. The next prime is 21257407. The reversal of 21257376 is 67375212.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2445 + ... + 6963.

It is an arithmetic number, because the mean of its divisors is an integer number (901740).

Almost surely, 221257376 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 21257376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32462640).

21257376 is an abundant number, since it is smaller than the sum of its proper divisors (43667904).

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

21257376 is a wasteful number, since it uses less digits than its factorization.

21257376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4531 counting only the distinct ones).

The product of its digits is 17640, while the sum is 33.

The square root of 21257376 is about 4610.5721987623. The cubic root of 21257376 is about 277.0149565966.

The spelling of 21257376 in words is "twenty-one million, two hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4519 4704 9038 13557 18076 27114 31633 36152 54228 63266 72304 94899 108456 126532 144608 189798 216912 221431 253064 379596 433824 442862 506128 664293 759192 885724 1012256 1328586 1518384 1771448 2657172 3036768 3542896 5314344 7085792 10628688 21257376