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130237200 = 24335231389
BaseRepresentation
bin1111100001101…
…00001100010000
3100002001201212000
413300310030100
5231320042300
620531234000
73140666202
oct760641420
9302051760
10130237200
1167574155
1237748900
1320c9c742
1413422772
15b678c00
hex7c34310

130237200 has 240 divisors, whose sum is σ = 479731200. Its totient is φ = 33523200.

The previous prime is 130237189. The next prime is 130237243. The reversal of 130237200 is 2732031.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 334606 + ... + 334994.

It is an arithmetic number, because the mean of its divisors is an integer number (1998880).

Almost surely, 2130237200 is an apocalyptic number.

130237200 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 130237200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239865600).

130237200 is an abundant number, since it is smaller than the sum of its proper divisors (349494000).

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

130237200 is a wasteful number, since it uses less digits than its factorization.

130237200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 130237200 is about 11412.1514185538. The cubic root of 130237200 is about 506.8876190817.

Adding to 130237200 its reverse (2732031), we get a palindrome (132969231).

The spelling of 130237200 in words is "one hundred thirty million, two hundred thirty-seven thousand, two hundred".