Search a number
-
+
131613630 = 23547269347
BaseRepresentation
bin1111101100001…
…00001110111110
3100011122122221220
413312010032332
5232143114010
621020534210
73155461131
oct766041676
9304578856
10131613630
11683242a5
12380b1366
13213620b5
14136a0218
15b84b970
hex7d843be

131613630 has 64 divisors (see below), whose sum is σ = 324725760. Its totient is φ = 34123904.

The previous prime is 131613619. The next prime is 131613673. The reversal of 131613630 is 36316131.

It is a self number, because there is not a number n which added to its sum of digits gives 131613630.

It is a congruent number.

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, 379117 + ... + 379463.

It is an arithmetic number, because the mean of its divisors is an integer number (5073840).

Almost surely, 2131613630 is an apocalyptic number.

131613630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131613630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162362880).

131613630 is an abundant number, since it is smaller than the sum of its proper divisors (193112130).

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

131613630 is a wasteful number, since it uses less digits than its factorization.

131613630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673.

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 131613630 is about 11472.2983747809. The cubic root of 131613630 is about 508.6670690886.

Adding to 131613630 its reverse (36316131), we get a palindrome (167929761).

The spelling of 131613630 in words is "one hundred thirty-one million, six hundred thirteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 269 282 347 470 538 694 705 807 1041 1345 1410 1614 1735 2082 2690 3470 4035 5205 8070 10410 12643 16309 25286 32618 37929 48927 63215 75858 81545 93343 97854 126430 163090 186686 189645 244635 280029 379290 466715 489270 560058 933430 1400145 2800290 4387121 8774242 13161363 21935605 26322726 43871210 65806815 131613630