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131531240 = 23529149761
BaseRepresentation
bin1111101011100…
…00000111101000
3100011111110221102
413311300013220
5232132444430
621015100532
73154666001
oct765600750
9304443842
10131531240
1168278405
1238071748
1321333749
141367c1a8
15b832345
hex7d701e8

131531240 has 64 divisors (see below), whose sum is σ = 308610000. Its totient is φ = 50391040.

The previous prime is 131531221. The next prime is 131531249. The reversal of 131531240 is 42135131.

It can be written as a sum of positive squares in 8 ways, for example, as 2617924 + 128913316 = 1618^2 + 11354^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (131531249) 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, 172460 + ... + 173220.

Almost surely, 2131531240 is an apocalyptic number.

131531240 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 131531240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154305000).

131531240 is an abundant number, since it is smaller than the sum of its proper divisors (177078760).

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

131531240 is a wasteful number, since it uses less digits than its factorization.

131531240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 131531240 is about 11468.7069890202. The cubic root of 131531240 is about 508.5609052415.

Adding to 131531240 its reverse (42135131), we get a palindrome (173666371).

The spelling of 131531240 in words is "one hundred thirty-one million, five hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 149 232 290 298 580 596 745 761 1160 1192 1490 1522 2980 3044 3805 4321 5960 6088 7610 8642 15220 17284 21605 22069 30440 34568 43210 44138 86420 88276 110345 113389 172840 176552 220690 226778 441380 453556 566945 882760 907112 1133890 2267780 3288281 4535560 6576562 13153124 16441405 26306248 32882810 65765620 131531240