Search a number
-
+
131439768 = 23341223599
BaseRepresentation
bin1111101010110…
…01110010011000
3100011022211110120
413311121302120
5232122033033
621013113240
73154135215
oct765316230
9304284416
10131439768
1168215709
1238028820
1321300c15
1413656b0c
15b8151b3
hex7d59c98

131439768 has 64 divisors (see below), whose sum is σ = 338688000. Its totient is φ = 42481920.

The previous prime is 131439761. The next prime is 131439797. The reversal of 131439768 is 867934131.

It is a super-2 number, since 2×1314397682 = 34552825223787648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131439761) 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, 219133 + ... + 219731.

It is an arithmetic number, because the mean of its divisors is an integer number (5292000).

Almost surely, 2131439768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131439768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

131439768 is an abundant number, since it is smaller than the sum of its proper divisors (207248232).

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

131439768 is a wasteful number, since it uses less digits than its factorization.

131439768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 868 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 131439768 is about 11464.7184003795. The cubic root of 131439768 is about 508.4429868139.

The spelling of 131439768 in words is "one hundred thirty-one million, four hundred thirty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 223 246 328 446 492 599 669 892 984 1198 1338 1784 1797 2396 2676 3594 4792 5352 7188 9143 14376 18286 24559 27429 36572 49118 54858 73144 73677 98236 109716 133577 147354 196472 219432 267154 294708 400731 534308 589416 801462 1068616 1602924 3205848 5476657 10953314 16429971 21906628 32859942 43813256 65719884 131439768