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130032405 = 3351756659
BaseRepresentation
bin1111100000000…
…10001100010101
3100001200022221000
413300002030111
5231242014110
620523013513
73136154136
oct760021425
9301608830
10130032405
11674442a8
123766a299
1320c2a469
14133abc8d
15b6381c0
hex7c02315

130032405 has 32 divisors (see below), whose sum is σ = 244771200. Its totient is φ = 65270016.

The previous prime is 130032403. The next prime is 130032421. The reversal of 130032405 is 504230031.

It is not a de Polignac number, because 130032405 - 21 = 130032403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130032403) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 26035 + ... + 30624.

It is an arithmetic number, because the mean of its divisors is an integer number (7649100).

Almost surely, 2130032405 is an apocalyptic number.

130032405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130032405 is a deficient number, since it is larger than the sum of its proper divisors (114738795).

130032405 is a wasteful number, since it uses less digits than its factorization.

130032405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56690 (or 56684 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 130032405 is about 11403.1752157020. The cubic root of 130032405 is about 506.6217899907.

Adding to 130032405 its reverse (504230031), we get a palindrome (634262436).

The spelling of 130032405 in words is "one hundred thirty million, thirty-two thousand, four hundred five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 255 459 765 2295 56659 169977 283295 509931 849885 963203 1529793 2549655 2889609 4816015 7648965 8668827 14448045 26006481 43344135 130032405