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130463740 = 225115367167
BaseRepresentation
bin1111100011010…
…11011111111100
3100002111020121101
413301223133330
5231344314430
620540142444
73142631521
oct761533774
9302436541
10130463740
1167709380
1237837a24
132104b8a4
1413481148
15b6c0dca
hex7c6b7fc

130463740 has 96 divisors (see below), whose sum is σ = 310915584. Its totient is φ = 45576960.

The previous prime is 130463713. The next prime is 130463741. The reversal of 130463740 is 47364031.

It is a junction number, because it is equal to n+sod(n) for n = 130463699 and 130463708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130463741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 781137 + ... + 781303.

It is an arithmetic number, because the mean of its divisors is an integer number (3238704).

Almost surely, 2130463740 is an apocalyptic number.

130463740 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 130463740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155457792).

130463740 is an abundant number, since it is smaller than the sum of its proper divisors (180451844).

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

130463740 is a wasteful number, since it uses less digits than its factorization.

130463740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 130463740 is about 11422.0724914527. The cubic root of 130463740 is about 507.1813493044.

The spelling of 130463740 in words is "one hundred thirty million, four hundred sixty-three thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 67 106 110 134 167 212 220 265 268 334 335 530 583 668 670 737 835 1060 1166 1340 1474 1670 1837 2332 2915 2948 3340 3551 3674 3685 5830 7102 7348 7370 8851 9185 11189 11660 14204 14740 17702 17755 18370 22378 35404 35510 36740 39061 44255 44756 55945 71020 78122 88510 97361 111890 123079 156244 177020 194722 195305 223780 246158 389444 390610 486805 492316 593017 615395 781220 973610 1186034 1230790 1947220 2372068 2461580 2965085 5930170 6523187 11860340 13046374 26092748 32615935 65231870 130463740