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130244400 = 2432521121323
BaseRepresentation
bin1111100001101…
…01111100110000
3100002002002201200
413300311330300
5231320310100
620531331200
73141026166
oct760657460
9302062650
10130244400
1167579600
1237750b00
1320ca2ac0
1413425236
15b67ae00
hex7c35f30

130244400 has 540 divisors, whose sum is σ = 558287184. Its totient is φ = 27878400.

The previous prime is 130244371. The next prime is 130244431. The reversal of 130244400 is 4442031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5662789 + ... + 5662811.

Almost surely, 2130244400 is an apocalyptic number.

130244400 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 130244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279143592).

130244400 is an abundant number, since it is smaller than the sum of its proper divisors (428042784).

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

130244400 is a wasteful number, since it uses less digits than its factorization.

130244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 130244400 is about 11412.4668674218. The cubic root of 130244400 is about 506.8969597913.

Adding to 130244400 its reverse (4442031), we get a palindrome (134686431).

It can be divided in two parts, 13024 and 4400, that added together give a square (17424 = 1322).

The spelling of 130244400 in words is "one hundred thirty million, two hundred forty-four thousand, four hundred".