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131849690 = 2572535077
BaseRepresentation
bin1111101101111…
…01110111011010
3100012002122202212
413312331313122
5232223142230
621025555122
73160463300
oct766756732
9305078685
10131849690
1168475695
12381a5aa2
132141568b
1413722270
15b896895
hex7dbddda

131849690 has 48 divisors (see below), whose sum is σ = 281341512. Its totient is φ = 44343936.

The previous prime is 131849677. The next prime is 131849713. The reversal of 131849690 is 96948131.

It can be written as a sum of positive squares in 4 ways, for example, as 131629729 + 219961 = 11473^2 + 469^2 .

It is a super-2 number, since 2×1318496902 = 34768681506192200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23432 + ... + 28508.

Almost surely, 2131849690 is an apocalyptic number.

131849690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131849690 is an abundant number, since it is smaller than the sum of its proper divisors (149491822).

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

131849690 is a wasteful number, since it uses less digits than its factorization.

131849690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5151 (or 5144 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 41.

The square root of 131849690 is about 11482.5820267046. The cubic root of 131849690 is about 508.9709996948.

The spelling of 131849690 in words is "one hundred thirty-one million, eight hundred forty-nine thousand, six hundred ninety".

Divisors: 1 2 5 7 10 14 35 49 53 70 98 106 245 265 371 490 530 742 1855 2597 3710 5077 5194 10154 12985 25385 25970 35539 50770 71078 177695 248773 269081 355390 497546 538162 1243865 1345405 1883567 2487730 2690810 3767134 9417835 13184969 18835670 26369938 65924845 131849690