Search a number
-
+
130508280 = 23335761283
BaseRepresentation
bin1111100011101…
…10010111111000
3100002120111201000
413301312113320
5231402231110
620541125000
73143205420
oct761662770
9302514630
10130508280
1167739891
1237859760
1321065c46
1413493480
15b6ce1c0
hex7c765f8

130508280 has 256 divisors, whose sum is σ = 507110400. Its totient is φ = 29237760.

The previous prime is 130508267. The next prime is 130508299. The reversal of 130508280 is 82805031.

It is a happy number.

130508280 is a `hidden beast` number, since 130 + 508 + 28 + 0 = 666.

It is a super-2 number, since 2×1305082802 = 34064822297116800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 461019 + ... + 461301.

It is an arithmetic number, because the mean of its divisors is an integer number (1980900).

Almost surely, 2130508280 is an apocalyptic number.

130508280 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 130508280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253555200).

130508280 is an abundant number, since it is smaller than the sum of its proper divisors (376602120).

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

130508280 is a wasteful number, since it uses less digits than its factorization.

130508280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 130508280 is about 11424.0220588022. The cubic root of 130508280 is about 507.2390595593.

The spelling of 130508280 in words is "one hundred thirty million, five hundred eight thousand, two hundred eighty".