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130047240 = 23351517177
BaseRepresentation
bin1111100000001…
…01110100001000
3100001201002021110
413300011310020
5231243002430
620523210320
73136245321
oct760056410
9301632243
10130047240
1167454464
12376769a0
1320c3413b
14133b3448
15b63c7b0
hex7c05d08

130047240 has 64 divisors (see below), whose sum is σ = 392780160. Its totient is φ = 34444800.

The previous prime is 130047227. The next prime is 130047241. The reversal of 130047240 is 42740031.

It is not an unprimeable number, because it can be changed into a prime (130047241) 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 15 ways as a sum of consecutive naturals, for example, 14532 + ... + 21708.

It is an arithmetic number, because the mean of its divisors is an integer number (6137190).

Almost surely, 2130047240 is an apocalyptic number.

130047240 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 130047240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196390080).

130047240 is an abundant number, since it is smaller than the sum of its proper divisors (262732920).

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

130047240 is a wasteful number, since it uses less digits than its factorization.

130047240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7342 (or 7338 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 130047240 is about 11403.8256738693. The cubic root of 130047240 is about 506.6410555691.

Adding to 130047240 its reverse (42740031), we get a palindrome (172787271).

The spelling of 130047240 in words is "one hundred thirty million, forty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 302 453 604 755 906 1208 1510 1812 2265 3020 3624 4530 6040 7177 9060 14354 18120 21531 28708 35885 43062 57416 71770 86124 107655 143540 172248 215310 287080 430620 861240 1083727 2167454 3251181 4334908 5418635 6502362 8669816 10837270 13004724 16255905 21674540 26009448 32511810 43349080 65023620 130047240