Search a number
-
+
130766076 = 2235719219
BaseRepresentation
bin1111100101101…
…01010011111100
3100010001121100000
413302311103330
5231434003301
620550434300
73145331130
oct762652374
9303047300
10130766076
11678a5541
1237962990
132112639c
141351d3c0
15b730786
hex7cb54fc

130766076 has 72 divisors (see below), whose sum is σ = 391780480. Its totient is φ = 37359792.

The previous prime is 130766047. The next prime is 130766107. The reversal of 130766076 is 670667031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130766076.

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 23 ways as a sum of consecutive naturals, for example, 2806 + ... + 16413.

Almost surely, 2130766076 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 130766076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195890240).

130766076 is an abundant number, since it is smaller than the sum of its proper divisors (261014404).

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

130766076 is a wasteful number, since it uses less digits than its factorization.

130766076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19245 (or 19231 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 130766076 is about 11435.2995588222. The cubic root of 130766076 is about 507.5728268739.

The spelling of 130766076 in words is "one hundred thirty million, seven hundred sixty-six thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1701 2268 3402 6804 19219 38438 57657 76876 115314 134533 172971 230628 269066 345942 403599 518913 538132 691884 807198 1037826 1210797 1556739 1614396 2075652 2421594 3113478 3632391 4670217 4843188 6226956 7264782 9340434 10897173 14529564 18680868 21794346 32691519 43588692 65383038 130766076