Search a number
-
+
131404140 = 22335734763
BaseRepresentation
bin1111101010100…
…01000101101100
3100011021000121000
413311101011230
5232114413030
621012240300
73153626310
oct765210554
9304230530
10131404140
11681a096a
1238010090
13212ba93a
1413647b40
15b809860
hex7d5116c

131404140 has 96 divisors (see below), whose sum is σ = 467228160. Its totient is φ = 30034368.

The previous prime is 131404121. The next prime is 131404183. The reversal of 131404140 is 41404131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13602 + ... + 21161.

It is an arithmetic number, because the mean of its divisors is an integer number (4866960).

Almost surely, 2131404140 is an apocalyptic number.

131404140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131404140 is an abundant number, since it is smaller than the sum of its proper divisors (335824020).

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

131404140 is a wasteful number, since it uses less digits than its factorization.

131404140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34788 (or 34780 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 131404140 is about 11463.1644845566. The cubic root of 131404140 is about 508.3970432257.

Adding to 131404140 its reverse (41404131), we get a palindrome (172808271).

Subtracting from 131404140 its reverse (41404131), we obtain a palindrome (90000009).

The spelling of 131404140 in words is "one hundred thirty-one million, four hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 34763 69526 104289 139052 173815 208578 243341 312867 347630 417156 486682 521445 625734 695260 730023 938601 973364 1042890 1216705 1251468 1460046 1564335 1877202 2085780 2190069 2433410 2920092 3128670 3650115 3754404 4380138 4693005 4866820 6257340 6570207 7300230 8760276 9386010 10950345 13140414 14600460 18772020 21900690 26280828 32851035 43801380 65702070 131404140