Search a number
-
+
131044386 = 231123173499
BaseRepresentation
bin1111100111110…
…01010000100010
3100010120202002210
413303321100202
5232021410021
621000422550
73150600414
oct763712042
9303522083
10131044386
1167a75650
1237a77a56
13211c2c75
14135929b4
15b787e76
hex7cf9422

131044386 has 64 divisors (see below), whose sum is σ = 300672000. Its totient is φ = 37688640.

The previous prime is 131044373. The next prime is 131044393. The reversal of 131044386 is 683440131.

It is a super-2 number, since 2×1310443862 = 34345262204233992, which contains 22 as substring.

It is a Curzon 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, 262365 + ... + 262863.

It is an arithmetic number, because the mean of its divisors is an integer number (4698000).

Almost surely, 2131044386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131044386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150336000).

131044386 is an abundant number, since it is smaller than the sum of its proper divisors (169627614).

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

131044386 is a wasteful number, since it uses less digits than its factorization.

131044386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 131044386 is about 11447.4619894543. The cubic root of 131044386 is about 507.9326615229.

The spelling of 131044386 in words is "one hundred thirty-one million, forty-four thousand, three hundred eighty-six".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 173 253 346 499 506 519 759 998 1038 1497 1518 1903 2994 3806 3979 5489 5709 7958 10978 11418 11477 11937 16467 22954 23874 32934 34431 43769 68862 86327 87538 126247 131307 172654 252494 258981 262614 378741 517962 757482 949597 1899194 1985521 2848791 3971042 5697582 5956563 11913126 21840731 43681462 65522193 131044386