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131781540 = 223511199669
BaseRepresentation
bin1111101101011…
…01001110100100
3100011222012021210
413312231032210
5232214002130
621024311420
73160060512
oct766551644
9304865253
10131781540
1168429470
1238172570
13213c0657
14137054b2
15b8815b0
hex7dad3a4

131781540 has 48 divisors (see below), whose sum is σ = 402534720. Its totient is φ = 31946880.

The previous prime is 131781523. The next prime is 131781553. The reversal of 131781540 is 45187131.

131781540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 131781498 and 131781507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99175 + ... + 100494.

It is an arithmetic number, because the mean of its divisors is an integer number (8386140).

Almost surely, 2131781540 is an apocalyptic number.

131781540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131781540 is an abundant number, since it is smaller than the sum of its proper divisors (270753180).

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

131781540 is a wasteful number, since it uses less digits than its factorization.

131781540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199692 (or 199690 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 131781540 is about 11479.6141050124. The cubic root of 131781540 is about 508.8832928737.

The spelling of 131781540 in words is "one hundred thirty-one million, seven hundred eighty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 199669 399338 599007 798676 998345 1198014 1996690 2196359 2396028 2995035 3993380 4392718 5990070 6589077 8785436 10981795 11980140 13178154 21963590 26356308 32945385 43927180 65890770 131781540