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130433460 = 223523472011
BaseRepresentation
bin1111100011001…
…00000110110100
3100002102201001220
413301210012310
5231342332320
620535350340
73142444323
oct761440664
9302381056
10130433460
1167698653
12378223b0
132103ab81
14134740ba
15b6b6e40
hex7c641b4

130433460 has 96 divisors (see below), whose sum is σ = 389394432. Its totient is φ = 32545920.

The previous prime is 130433447. The next prime is 130433467. The reversal of 130433460 is 64334031.

It is a self number, because there is not a number n which added to its sum of digits gives 130433460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130433467) 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 31 ways as a sum of consecutive naturals, for example, 63855 + ... + 65865.

It is an arithmetic number, because the mean of its divisors is an integer number (4056192).

Almost surely, 2130433460 is an apocalyptic number.

130433460 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 130433460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194697216).

130433460 is an abundant number, since it is smaller than the sum of its proper divisors (258960972).

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

130433460 is a wasteful number, since it uses less digits than its factorization.

130433460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

The square root of 130433460 is about 11420.7469107760. The cubic root of 130433460 is about 507.1421081596.

Adding to 130433460 its reverse (64334031), we get a palindrome (194767491).

The spelling of 130433460 in words is "one hundred thirty million, four hundred thirty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 47 60 69 92 94 115 138 141 188 230 235 276 282 345 460 470 564 690 705 940 1081 1380 1410 2011 2162 2820 3243 4022 4324 5405 6033 6486 8044 10055 10810 12066 12972 16215 20110 21620 24132 30165 32430 40220 46253 60330 64860 92506 94517 120660 138759 185012 189034 231265 277518 283551 378068 462530 472585 555036 567102 693795 925060 945170 1134204 1387590 1417755 1890340 2173891 2775180 2835510 4347782 5671020 6521673 8695564 10869455 13043346 21738910 26086692 32608365 43477820 65216730 130433460