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21416013 = 3223307337
BaseRepresentation
bin101000110110…
…0100001001101
31111022001020200
41101230201031
520440303023
62043004113
7350014233
oct121544115
944261220
1021416013
11110a8193
127209639
13458aac8
142bb6953
151d30743
hex146c84d

21416013 has 24 divisors (see below), whose sum is σ = 32480448. Its totient is φ = 13571712.

The previous prime is 21415991. The next prime is 21416023. The reversal of 21416013 is 31061412.

It is a happy number.

21416013 is a `hidden beast` number, since 21 + 41 + 601 + 3 = 666.

It is not a de Polignac number, because 21416013 - 213 = 21407821 is a prime.

It is a super-2 number, since 2×214160132 = 917291225632338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21416023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63381 + ... + 63717.

It is an arithmetic number, because the mean of its divisors is an integer number (1353352).

Almost surely, 221416013 is an apocalyptic number.

21416013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

21416013 is a deficient number, since it is larger than the sum of its proper divisors (11064435).

21416013 is a wasteful number, since it uses less digits than its factorization.

21416013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 21416013 is about 4627.7438347428. The cubic root of 21416013 is about 277.7023408604.

Adding to 21416013 its reverse (31061412), we get a palindrome (52477425).

The spelling of 21416013 in words is "twenty-one million, four hundred sixteen thousand, thirteen".

Divisors: 1 3 9 23 69 207 307 337 921 1011 2763 3033 7061 7751 21183 23253 63549 69759 103459 310377 931131 2379557 7138671 21416013