Search a number
-
+
21813696 = 263237871
BaseRepresentation
bin101001100110…
…1100111000000
31112001020202200
41103031213000
521041014241
62055313200
7353261532
oct123154700
945036680
1021813696
1111349a53
12737b800
134699b18
142c7b852
151dad4b6
hex14cd9c0

21813696 has 42 divisors (see below), whose sum is σ = 62526672. Its totient is φ = 7271040.

The previous prime is 21813689. The next prime is 21813697. The reversal of 21813696 is 69631812.

It is a super-3 number, since 3×218136963 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 21813696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21813697) 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 5 ways as a sum of consecutive naturals, for example, 18360 + ... + 19511.

Almost surely, 221813696 is an apocalyptic number.

It is an amenable number.

21813696 is an abundant number, since it is smaller than the sum of its proper divisors (40712976).

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

21813696 is a wasteful number, since it uses less digits than its factorization.

21813696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37889 (or 37876 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 21813696 is about 4670.5134621367. The cubic root of 21813696 is about 279.4107335342.

The spelling of 21813696 in words is "twenty-one million, eight hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 37871 75742 113613 151484 227226 302968 340839 454452 605936 681678 908904 1211872 1363356 1817808 2423744 2726712 3635616 5453424 7271232 10906848 21813696