Search a number
-
+
130001256 = 2332711131179
BaseRepresentation
bin1111011111110…
…10100101101000
3100001121202012100
413233322211220
5231240020011
620522213400
73135664260
oct757724550
9301552170
10130001256
1167422960
1237654260
1320c19228
14133a07a0
15b62dd56
hex7bfa968

130001256 has 192 divisors, whose sum is σ = 444787200. Its totient is φ = 33321600.

The previous prime is 130001251. The next prime is 130001257. The reversal of 130001256 is 652100031.

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

It is not an unprimeable number, because it can be changed into a prime (130001251) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 726175 + ... + 726353.

It is an arithmetic number, because the mean of its divisors is an integer number (2316600).

Almost surely, 2130001256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130001256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222393600).

130001256 is an abundant number, since it is smaller than the sum of its proper divisors (314785944).

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

130001256 is a wasteful number, since it uses less digits than its factorization.

130001256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 130001256 is about 11401.8093301020. The cubic root of 130001256 is about 506.5813333513.

Adding to 130001256 its reverse (652100031), we get a palindrome (782101287).

The spelling of 130001256 in words is "one hundred thirty million, one thousand, two hundred fifty-six".