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260132760140 = 225111432782531
BaseRepresentation
bin1111001001000100011…
…1101110101001001100
3220212110002200101220212
43302101013232221030
513230222441311030
6315300415501552
724536221656341
oct3622107565114
9825402611825
10260132760140
11a035a185990
12424b9b278b8
131b6b8420256
14c83a4527c8
156b7769d595
hex3c911eea4c

260132760140 has 48 divisors (see below), whose sum is σ = 595989321984. Its totient is φ = 94585982400.

The previous prime is 260132759947. The next prime is 260132760149. The reversal of 260132760140 is 41067231062.

260132760140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 260132760097 and 260132760106.

It is not an unprimeable number, because it can be changed into a prime (260132760149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3110675 + ... + 3193205.

It is an arithmetic number, because the mean of its divisors is an integer number (12416444208).

Almost surely, 2260132760140 is an apocalyptic number.

260132760140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

260132760140 is an abundant number, since it is smaller than the sum of its proper divisors (335856561844).

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

260132760140 is a wasteful number, since it uses less digits than its factorization.

260132760140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96878 (or 96876 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 260132760140 in words is "two hundred sixty billion, one hundred thirty-two million, seven hundred sixty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 14327 28654 57308 71635 82531 143270 157597 165062 286540 315194 330124 412655 630388 787985 825310 907841 1575970 1650620 1815682 3151940 3631364 4539205 9078410 18156820 1182421637 2364843274 4729686548 5912108185 11824216370 13006638007 23648432740 26013276014 52026552028 65033190035 130066380070 260132760140