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131512340 = 22517261373
BaseRepresentation
bin1111101011010…
…11100000010100
3100011110112000102
413311223200110
5232131343330
621014433232
73154556621
oct765534024
9304415012
10131512340
1168265193
1238062818
1321327c6b
1413675348
15b82b945
hex7d6b814

131512340 has 72 divisors (see below), whose sum is σ = 298986072. Its totient is φ = 48568320.

The previous prime is 131512331. The next prime is 131512343. The reversal of 131512340 is 43215131.

It can be written as a sum of positive squares in 12 ways, for example, as 24720784 + 106791556 = 4972^2 + 10334^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131512343) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352394 + ... + 352766.

Almost surely, 2131512340 is an apocalyptic number.

131512340 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 131512340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149493036).

131512340 is an abundant number, since it is smaller than the sum of its proper divisors (167473732).

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

131512340 is a wasteful number, since it uses less digits than its factorization.

131512340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 458 counting only the distinct ones).

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

The square root of 131512340 is about 11467.8829781263. The cubic root of 131512340 is about 508.5365453467.

Adding to 131512340 its reverse (43215131), we get a palindrome (174727471).

The spelling of 131512340 in words is "one hundred thirty-one million, five hundred twelve thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 61 68 85 122 170 244 289 305 340 373 578 610 746 1037 1156 1220 1445 1492 1865 2074 2890 3730 4148 5185 5780 6341 7460 10370 12682 17629 20740 22753 25364 31705 35258 45506 63410 70516 88145 91012 107797 113765 126820 176290 215594 227530 352580 386801 431188 455060 538985 773602 1077970 1547204 1934005 2155940 3868010 6575617 7736020 13151234 26302468 32878085 65756170 131512340