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131241040 = 24571311789
BaseRepresentation
bin1111101001010…
…01010001010000
3100010221201212021
413310221101100
5232044203130
621004541224
73152346640
oct764512120
9303851767
10131241040
116809a377
1237b51814
1321261628
1413604520
15b7c637a
hex7d29450

131241040 has 80 divisors (see below), whose sum is σ = 351584640. Its totient is φ = 44628480.

The previous prime is 131241029. The next prime is 131241049. The reversal of 131241040 is 40142131.

131241040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131241049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72466 + ... + 74254.

It is an arithmetic number, because the mean of its divisors is an integer number (4394808).

Almost surely, 2131241040 is an apocalyptic number.

131241040 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 131241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175792320).

131241040 is an abundant number, since it is smaller than the sum of its proper divisors (220343600).

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

131241040 is a wasteful number, since it uses less digits than its factorization.

131241040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 131241040 is about 11456.0481842562. The cubic root of 131241040 is about 508.1866138124.

Adding to 131241040 its reverse (40142131), we get a palindrome (171383171).

The spelling of 131241040 in words is "one hundred thirty-one million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 131 140 262 280 524 560 655 917 1048 1310 1789 1834 2096 2620 3578 3668 4585 5240 7156 7336 8945 9170 10480 12523 14312 14672 17890 18340 25046 28624 35780 36680 50092 62615 71560 73360 100184 125230 143120 200368 234359 250460 468718 500920 937436 1001840 1171795 1640513 1874872 2343590 3281026 3749744 4687180 6562052 8202565 9374360 13124104 16405130 18748720 26248208 32810260 65620520 131241040