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21338616 = 2331325261
BaseRepresentation
bin101000101100…
…1100111111000
31111011010002010
41101121213320
520430313431
62041205520
7346242465
oct121314770
944133063
1021338616
1111055022
1271908a0
134561800
142b9666c
151d17846
hex14599f8

21338616 has 48 divisors (see below), whose sum is σ = 57776760. Its totient is φ = 6564480.

The previous prime is 21338609. The next prime is 21338617. The reversal of 21338616 is 61683312.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21338617) 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 11 ways as a sum of consecutive naturals, for example, 1426 + ... + 6686.

Almost surely, 221338616 is an apocalyptic number.

21338616 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 21338616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28888380).

21338616 is an abundant number, since it is smaller than the sum of its proper divisors (36438144).

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

21338616 is a wasteful number, since it uses less digits than its factorization.

21338616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5296 (or 5279 counting only the distinct ones).

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

The square root of 21338616 is about 4619.3739835610. The cubic root of 21338616 is about 277.3674003290.

The spelling of 21338616 in words is "twenty-one million, three hundred thirty-eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 4056 5261 10522 15783 21044 31566 42088 63132 68393 126264 136786 205179 273572 410358 547144 820716 889109 1641432 1778218 2667327 3556436 5334654 7112872 10669308 21338616