Search a number
-
+
130285782 = 232112411459
BaseRepresentation
bin1111100010000…
…00000011010110
3100002011012111100
413301000003112
5231323121112
620532250530
73141260634
oct761000326
9302135440
10130285782
11675a7700
1237770a46
1320cb88a3
1413436354
15b6882dc
hex7c400d6

130285782 has 72 divisors (see below), whose sum is σ = 318066840. Its totient is φ = 38491200.

The previous prime is 130285751. The next prime is 130285811. The reversal of 130285782 is 287582031.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 88569 + ... + 90027.

It is an arithmetic number, because the mean of its divisors is an integer number (4417595).

Almost surely, 2130285782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130285782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159033420).

130285782 is an abundant number, since it is smaller than the sum of its proper divisors (187781058).

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

130285782 is a wasteful number, since it uses less digits than its factorization.

130285782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 130285782 is about 11414.2797407458. The cubic root of 130285782 is about 506.9506388460.

The spelling of 130285782 in words is "one hundred thirty million, two hundred eighty-five thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 121 123 198 242 246 363 369 451 726 738 902 1089 1353 1459 2178 2706 2918 4059 4377 4961 8118 8754 9922 13131 14883 16049 26262 29766 32098 44649 48147 59819 89298 96294 119638 144441 176539 179457 288882 353078 358914 529617 538371 658009 1059234 1076742 1316018 1588851 1974027 3177702 3948054 5922081 7238099 11844162 14476198 21714297 43428594 65142891 130285782