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130466600 = 235211311913
BaseRepresentation
bin1111100011011…
…00001100101000
3100002111101112022
413301230030220
5231344412400
620540204012
73142643045
oct761541450
9302441468
10130466600
1167710540
1237839608
132104cc94
14134821cc
15b6c1b85
hex7c6c328

130466600 has 96 divisors (see below), whose sum is σ = 341763840. Its totient is φ = 45888000.

The previous prime is 130466593. The next prime is 130466627. The reversal of 130466600 is 6664031.

It is a self number, because there is not a number n which added to its sum of digits gives 130466600.

It is an unprimeable number.

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, 67244 + ... + 69156.

It is an arithmetic number, because the mean of its divisors is an integer number (3560040).

Almost surely, 2130466600 is an apocalyptic number.

130466600 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 130466600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170881920).

130466600 is an abundant number, since it is smaller than the sum of its proper divisors (211297240).

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

130466600 is a wasteful number, since it uses less digits than its factorization.

130466600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 130466600 is about 11422.1976869602. The cubic root of 130466600 is about 507.1850553867.

The spelling of 130466600 in words is "one hundred thirty million, four hundred sixty-six thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 31 40 44 50 55 62 88 100 110 124 155 200 220 248 275 310 341 440 550 620 682 775 1100 1240 1364 1550 1705 1913 2200 2728 3100 3410 3826 6200 6820 7652 8525 9565 13640 15304 17050 19130 21043 34100 38260 42086 47825 59303 68200 76520 84172 95650 105215 118606 168344 191300 210430 237212 296515 382600 420860 474424 526075 593030 652333 841720 1052150 1186060 1304666 1482575 2104300 2372120 2609332 2965150 3261665 4208600 5218664 5930300 6523330 11860600 13046660 16308325 26093320 32616650 65233300 130466600