Search a number
-
+
130210920 = 233257163317
BaseRepresentation
bin1111100001011…
…01110001101000
3100002000101210200
413300231301220
5231313222140
620530512200
73140526450
oct760556150
9302011720
10130210920
1167556434
1237735660
1320c907a8
1413416d60
15b671030
hex7c2dc68

130210920 has 192 divisors, whose sum is σ = 488142720. Its totient is φ = 29486592.

The previous prime is 130210909. The next prime is 130210937. The reversal of 130210920 is 29012031.

It is a happy number.

It is a Cunningham number, because it is equal to 114112-1.

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

It is a junction number, because it is equal to n+sod(n) for n = 130210893 and 130210902.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410602 + ... + 410918.

It is an arithmetic number, because the mean of its divisors is an integer number (2542410).

Almost surely, 2130210920 is an apocalyptic number.

130210920 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 130210920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244071360).

130210920 is an abundant number, since it is smaller than the sum of its proper divisors (357931800).

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

130210920 is a wasteful number, since it uses less digits than its factorization.

130210920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 130210920 is about 11410.9999561826. Note that the first 4 decimals coincide. The cubic root of 130210920 is about 506.8535225698.

Adding to 130210920 its reverse (29012031), we get a palindrome (159222951).

The spelling of 130210920 in words is "one hundred thirty million, two hundred ten thousand, nine hundred twenty".