Search a number
-
+
130324068 = 223272771867
BaseRepresentation
bin1111100010010…
…01011001100100
3100002020011000100
413301021121210
5231330332233
620533144100
73141510360
oct761113144
9302204010
10130324068
1167623446
123778b030
1321000144
14134462a0
15b694813
hex7c49664

130324068 has 72 divisors (see below), whose sum is σ = 378053312. Its totient is φ = 37081152.

The previous prime is 130324067. The next prime is 130324069. The reversal of 130324068 is 860423031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130324067) and next prime (130324069).

It is not an unprimeable number, because it can be changed into a prime (130324067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68871 + ... + 70737.

Almost surely, 2130324068 is an apocalyptic number.

130324068 is a gapful number since it is divisible by the number (18) 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 130324068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189026656).

130324068 is an abundant number, since it is smaller than the sum of its proper divisors (247729244).

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

130324068 is a wasteful number, since it uses less digits than its factorization.

130324068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 130324068 is about 11415.9567273181. The cubic root of 130324068 is about 507.0002917730. Note that the first 3 decimals are identical.

Adding to 130324068 its reverse (860423031), we get a palindrome (990747099).

The spelling of 130324068 in words is "one hundred thirty million, three hundred twenty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 277 554 831 1108 1662 1867 1939 2493 3324 3734 3878 4986 5601 5817 7468 7756 9972 11202 11634 13069 16803 17451 22404 23268 26138 33606 34902 39207 52276 67212 69804 78414 117621 156828 235242 470484 517159 1034318 1551477 2068636 3102954 3620113 4654431 6205908 7240226 9308862 10860339 14480452 18617724 21720678 32581017 43441356 65162034 130324068