Search a number
-
+
21414264 = 233892261
BaseRepresentation
bin101000110110…
…0000101111000
31111021221211220
41101230011320
520440224024
62042552040
7350006154
oct121540570
944257756
1021414264
11110a6943
127208620
13458a081
142bb6064
151d2ee79
hex146c178

21414264 has 16 divisors (see below), whose sum is σ = 53535720. Its totient is φ = 7138080.

The previous prime is 21414257. The next prime is 21414269. The reversal of 21414264 is 46241412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 892261 = 21414264 / (2 + 1 + 4 + 1 + 4 + 2 + 6 + 4).

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 (21414269) 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 3 ways as a sum of consecutive naturals, for example, 446107 + ... + 446154.

Almost surely, 221414264 is an apocalyptic number.

21414264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21414264 is an abundant number, since it is smaller than the sum of its proper divisors (32121456).

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

21414264 is a wasteful number, since it uses less digits than its factorization.

21414264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892270 (or 892266 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 21414264 is about 4627.5548619114. The cubic root of 21414264 is about 277.6947808691.

Adding to 21414264 its reverse (46241412), we get a palindrome (67655676).

The spelling of 21414264 in words is "twenty-one million, four hundred fourteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 892261 1784522 2676783 3569044 5353566 7138088 10707132 21414264