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130434040 = 23511296441
BaseRepresentation
bin1111100011001…
…00001111111000
3100002102201212101
413301210033320
5231342342130
620535353144
73142446112
oct761441770
9302381771
10130434040
1167699030
12378227b4
132103b209
14134743b2
15b6b71ca
hex7c643f8

130434040 has 32 divisors (see below), whose sum is σ = 320157360. Its totient is φ = 47430400.

The previous prime is 130433999. The next prime is 130434041. The reversal of 130434040 is 40434031.

It is a junction number, because it is equal to n+sod(n) for n = 130433999 and 130434017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130434041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147781 + ... + 148660.

Almost surely, 2130434040 is an apocalyptic number.

130434040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130434040 is an abundant number, since it is smaller than the sum of its proper divisors (189723320).

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

130434040 is a wasteful number, since it uses less digits than its factorization.

130434040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296463 (or 296459 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 130434040 is about 11420.7723031326. The cubic root of 130434040 is about 507.1428598634.

Adding to 130434040 its reverse (40434031), we get a palindrome (170868071).

Subtracting from 130434040 its reverse (40434031), we obtain a palindrome (90000009).

It can be divided in two parts, 1304 and 34040, that added together give a square (35344 = 1882).

The spelling of 130434040 in words is "one hundred thirty million, four hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 296441 592882 1185764 1482205 2371528 2964410 3260851 5928820 6521702 11857640 13043404 16304255 26086808 32608510 65217020 130434040