Search a number
-
+
960131484 = 2232131925683
BaseRepresentation
bin111001001110100…
…111000110011100
32110220122201210100
4321032213012130
53431243201414
6235134541100
732535661104
oct7116470634
92426581710
10960131484
11452a72aa4
12229667790
13123bbb450
1491730204
1559458609
hex393a719c

960131484 has 108 divisors (see below), whose sum is σ = 2758979496. Its totient is φ = 279827136.

The previous prime is 960131453. The next prime is 960131531. The reversal of 960131484 is 484131069.

960131484 is a `hidden beast` number, since 9 + 601 + 3 + 1 + 48 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 166107 + ... + 171789.

Almost surely, 2960131484 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 960131484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379489748).

960131484 is an abundant number, since it is smaller than the sum of its proper divisors (1798848012).

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

960131484 is a wasteful number, since it uses less digits than its factorization.

960131484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5744 (or 5720 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 960131484 is about 30985.9885109383. The cubic root of 960131484 is about 986.5298648190.

The spelling of 960131484 in words is "nine hundred sixty million, one hundred thirty-one thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 361 468 494 684 722 741 988 1083 1444 1482 2166 2223 2964 3249 4332 4446 4693 5683 6498 8892 9386 11366 12996 14079 17049 18772 22732 28158 34098 42237 51147 56316 68196 73879 84474 102294 107977 147758 168948 204588 215954 221637 295516 323931 431908 443274 647862 664911 886548 971793 1295724 1329822 1403701 1943586 2051563 2659644 2807402 3887172 4103126 4211103 5614804 6154689 8206252 8422206 12309378 12633309 16844412 18464067 24618756 25266618 26670319 36928134 50533236 53340638 73856268 80010957 106681276 160021914 240032871 320043828 480065742 960131484