Search a number
-
+
130005000 = 233554107
BaseRepresentation
bin1111011111110…
…11100000001000
3100001121221100000
413233323200020
5231240130000
620522243000
73136011216
oct757734010
9301557300
10130005000
1167425754
1237656460
1320c1ab48
14133a1cb6
15b630000
hex7bfb808

130005000 has 240 divisors, whose sum is σ = 460540080. Its totient is φ = 34344000.

The previous prime is 130004977. The next prime is 130005017. The reversal of 130005000 is 500031.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1214947 + ... + 1215053.

It is an arithmetic number, because the mean of its divisors is an integer number (1918917).

Almost surely, 2130005000 is an apocalyptic number.

130005000 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 130005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230270040).

130005000 is an abundant number, since it is smaller than the sum of its proper divisors (330535080).

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

130005000 is an equidigital number, since it uses as much as digits as its factorization.

130005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 130005000 is about 11401.9735133879. The cubic root of 130005000 is about 506.5861964384.

Adding to 130005000 its reverse (500031), we get a palindrome (130505031).

The spelling of 130005000 in words is "one hundred thirty million, five thousand".