Search a number
-
+
110424000 = 2635343107
BaseRepresentation
bin1101001010011…
…10111111000000
321200210010020210
412211032333000
5211232032000
614542434120
72510405601
oct645167700
9250703223
10110424000
1157371205
1230b92940
1319b5335b
1410945da8
159a63350
hex694efc0

110424000 has 224 divisors, whose sum is σ = 376586496. Its totient is φ = 28492800.

The previous prime is 110423983. The next prime is 110424011. The reversal of 110424000 is 424011.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1031947 + ... + 1032053.

Almost surely, 2110424000 is an apocalyptic number.

110424000 is a gapful number since it is divisible by the number (10) 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 110424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188293248).

110424000 is an abundant number, since it is smaller than the sum of its proper divisors (266162496).

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

110424000 is a wasteful number, since it uses less digits than its factorization.

110424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 110424000 is about 10508.2824476696. The cubic root of 110424000 is about 479.7568212655.

Adding to 110424000 its reverse (424011), we get a palindrome (110848011).

The spelling of 110424000 in words is "one hundred ten million, four hundred twenty-four thousand".