Search a number
-
+
21359416 = 2313593
BaseRepresentation
bin101000101111…
…0101100111000
31111012011121111
41101132230320
520432000131
62041450104
7346360231
oct121365470
944164544
1021359416
1111069711
1271a0934
13456b110
142ba0088
151d1dab1
hex145eb38

21359416 has 32 divisors (see below), whose sum is σ = 43873200. Its totient is φ = 9691104.

The previous prime is 21359413. The next prime is 21359417. The reversal of 21359416 is 61495312.

It is a super-2 number, since 2×213594162 = 912449303722112, which contains 22 as substring.

It is an enlightened number because it begins with the concatenation of its prime factors (21359).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21359413) 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 7 ways as a sum of consecutive naturals, for example, 361995 + ... + 362053.

Almost surely, 221359416 is an apocalyptic number.

21359416 is a gapful number since it is divisible by the number (26) 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 21359416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936600).

21359416 is an abundant number, since it is smaller than the sum of its proper divisors (22513784).

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

21359416 is an frugal number, since it uses more digits than its factorization.

21359416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 74 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 21359416 is about 4621.6248225056. The cubic root of 21359416 is about 277.4574931510.

The spelling of 21359416 in words is "twenty-one million, three hundred fifty-nine thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 26 52 59 104 118 236 472 767 1534 3068 3481 6136 6962 13924 27848 45253 90506 181012 205379 362024 410758 821516 1643032 2669927 5339854 10679708 21359416