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21257334 = 23271131493
BaseRepresentation
bin101000100010…
…1110001110110
31110222222120200
41101011301312
520420213314
62035341330
7345453510
oct121056166
943888520
1021257334
1110aa9a4a
127151846
134533807
142b74bb0
151ced709
hex1445c76

21257334 has 48 divisors (see below), whose sum is σ = 53138592. Its totient is φ = 6015744.

The previous prime is 21257323. The next prime is 21257347. The reversal of 21257334 is 43375212.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 21257298 and 21257307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13492 + ... + 14984.

It is an arithmetic number, because the mean of its divisors is an integer number (1107054).

Almost surely, 221257334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21257334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26569296).

21257334 is an abundant number, since it is smaller than the sum of its proper divisors (31881258).

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

21257334 is a wasteful number, since it uses less digits than its factorization.

21257334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1618 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 21257334 is about 4610.5676440109. The cubic root of 21257334 is about 277.0147741558.

The spelling of 21257334 in words is "twenty-one million, two hundred fifty-seven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 113 126 226 339 678 791 1017 1493 1582 2034 2373 2986 4479 4746 7119 8958 10451 13437 14238 20902 26874 31353 62706 94059 168709 188118 337418 506127 1012254 1180963 1518381 2361926 3036762 3542889 7085778 10628667 21257334