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21293328 = 2437127499
BaseRepresentation
bin101000100111…
…0100100010000
31111001210221210
41101032210100
520422341303
62040220120
7345663450
oct121164420
944053853
1021293328
1111023aa1
12716a640
134547004
142b83d60
151d09203
hex144e910

21293328 has 80 divisors (see below), whose sum is σ = 63488000. Its totient is φ = 6023808.

The previous prime is 21293317. The next prime is 21293329. The reversal of 21293328 is 82339212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 21293295 and 21293304.

It is not an unprimeable number, because it can be changed into a prime (21293329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42423 + ... + 42921.

It is an arithmetic number, because the mean of its divisors is an integer number (793600).

Almost surely, 221293328 is an apocalyptic number.

21293328 is a gapful number since it is divisible by the number (28) 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 21293328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31744000).

21293328 is an abundant number, since it is smaller than the sum of its proper divisors (42194672).

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

21293328 is a wasteful number, since it uses less digits than its factorization.

21293328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 638 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 21293328 is about 4614.4694169536. The cubic root of 21293328 is about 277.1710378300.

The spelling of 21293328 in words is "twenty-one million, two hundred ninety-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 254 336 381 499 508 762 889 998 1016 1497 1524 1778 1996 2032 2667 2994 3048 3493 3556 3992 5334 5988 6096 6986 7112 7984 10479 10668 11976 13972 14224 20958 21336 23952 27944 41916 42672 55888 63373 83832 126746 167664 190119 253492 380238 443611 506984 760476 887222 1013968 1330833 1520952 1774444 2661666 3041904 3548888 5323332 7097776 10646664 21293328