Search a number
-
+
21453432 = 233711131947
BaseRepresentation
bin101000111010…
…1101001111000
31111100221120120
41101311221320
520443002212
62043453240
7350231310
oct121655170
944327516
1021453432
1111123310
127227220
1345a1b50
142bc6440
151d3b88c
hex1475a78

21453432 has 256 divisors, whose sum is σ = 77414400. Its totient is φ = 4769280.

The previous prime is 21453427. The next prime is 21453433. The reversal of 21453432 is 23435412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21453433) 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 63 ways as a sum of consecutive naturals, for example, 456433 + ... + 456479.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 221453432 is an apocalyptic number.

21453432 is a gapful number since it is divisible by the number (22) 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 21453432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38707200).

21453432 is an abundant number, since it is smaller than the sum of its proper divisors (55960968).

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

21453432 is a wasteful number, since it uses less digits than its factorization.

21453432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 102 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 21453432 is about 4631.7849691021. The cubic root of 21453432 is about 277.8639846686.

Adding to 21453432 its reverse (23435412), we get a palindrome (44888844).

The spelling of 21453432 in words is "twenty-one million, four hundred fifty-three thousand, four hundred thirty-two".