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21345714 = 2331322339
BaseRepresentation
bin101000101101…
…1010110110010
31111011110211000
41101123112302
520431030324
62041302430
7346302255
oct121332662
944143730
1021345714
111105a395
127194a16
134564b00
142b9909c
151d199c9
hex145b5b2

21345714 has 48 divisors (see below), whose sum is σ = 51386400. Its totient is φ = 6565104.

The previous prime is 21345713. The next prime is 21345719. The reversal of 21345714 is 41754312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21345713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7957 + ... + 10295.

It is an arithmetic number, because the mean of its divisors is an integer number (1070550).

Almost surely, 221345714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21345714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25693200).

21345714 is an abundant number, since it is smaller than the sum of its proper divisors (30040686).

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

21345714 is a wasteful number, since it uses less digits than its factorization.

21345714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2357 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 21345714 is about 4620.1422056036. The cubic root of 21345714 is about 277.3981510824.

The spelling of 21345714 in words is "twenty-one million, three hundred forty-five thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 1014 1521 2339 3042 4563 4678 7017 9126 14034 21051 30407 42102 60814 63153 91221 126306 182442 273663 395291 547326 790582 820989 1185873 1641978 2371746 3557619 7115238 10672857 21345714