Search a number
-
+
130431336 = 23372197563
BaseRepresentation
bin1111100011000…
…11100101101000
3100002102121011020
413301203211220
5231342300321
620535332440
73142435200
oct761434550
9302377136
10130431336
1167696aa2
1237821120
1321039c09
1413473400
15b6b64c6
hex7c63968

130431336 has 96 divisors (see below), whose sum is σ = 381918240. Its totient is φ = 37011072.

The previous prime is 130431317. The next prime is 130431383. The reversal of 130431336 is 633134031.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 231391 + ... + 231953.

It is an arithmetic number, because the mean of its divisors is an integer number (3978315).

Almost surely, 2130431336 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 130431336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190959120).

130431336 is an abundant number, since it is smaller than the sum of its proper divisors (251486904).

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

130431336 is a wasteful number, since it uses less digits than its factorization.

130431336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 130431336 is about 11420.6539217332. The cubic root of 130431336 is about 507.1393553494.

Adding to 130431336 its reverse (633134031), we get a palindrome (763565367).

It can be divided in two parts, 1304 and 31336, that added together give a triangular number (32640 = T255).

The spelling of 130431336 in words is "one hundred thirty million, four hundred thirty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 197 294 392 394 563 588 591 788 1126 1176 1182 1379 1576 1689 2252 2364 2758 3378 3941 4137 4504 4728 5516 6756 7882 8274 9653 11032 11823 13512 15764 16548 19306 23646 27587 28959 31528 33096 38612 47292 55174 57918 77224 82761 94584 110348 110911 115836 165522 220696 221822 231672 331044 332733 443644 662088 665466 776377 887288 1330932 1552754 2329131 2661864 3105508 4658262 5434639 6211016 9316524 10869278 16303917 18633048 21738556 32607834 43477112 65215668 130431336