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130331240 = 23513534729
BaseRepresentation
bin1111100010010…
…11001001101000
3100002020111211222
413301023021220
5231331044430
620533241212
73141540314
oct761131150
9302214758
10130331240
1167628876
1237793208
13210034a0
1413448b44
15b6969e5
hex7c4b268

130331240 has 64 divisors (see below), whose sum is σ = 321829200. Its totient is φ = 47204352.

The previous prime is 130331239. The next prime is 130331263. The reversal of 130331240 is 42133031.

It is a happy number.

130331240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 12348196 + 117983044 = 3514^2 + 10862^2 .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 25196 + ... + 29924.

Almost surely, 2130331240 is an apocalyptic number.

130331240 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 130331240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160914600).

130331240 is an abundant number, since it is smaller than the sum of its proper divisors (191497960).

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

130331240 is a wasteful number, since it uses less digits than its factorization.

130331240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806 (or 4802 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 130331240 is about 11416.2708447198. The cubic root of 130331240 is about 507.0095920234.

Adding to 130331240 its reverse (42133031), we get a palindrome (172464271).

The spelling of 130331240 in words is "one hundred thirty million, three hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 53 65 104 106 130 212 260 265 424 520 530 689 1060 1378 2120 2756 3445 4729 5512 6890 9458 13780 18916 23645 27560 37832 47290 61477 94580 122954 189160 245908 250637 307385 491816 501274 614770 1002548 1229540 1253185 2005096 2459080 2506370 3258281 5012740 6516562 10025480 13033124 16291405 26066248 32582810 65165620 130331240