Search a number
-
+
131500032 = 2113171259
BaseRepresentation
bin1111101011010…
…00100000000000
3100011102220010120
413311220200000
5232131000112
621014300240
73154506006
oct765504000
9304386116
10131500032
1168256a14
1238057680
1321322491
1413670a76
15b827e8c
hex7d68800

131500032 has 96 divisors (see below), whose sum is σ = 371498400. Its totient is φ = 41222144.

The previous prime is 131500009. The next prime is 131500051. The reversal of 131500032 is 230005131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 131499984 and 131500020.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103819 + ... + 105077.

It is an arithmetic number, because the mean of its divisors is an integer number (3869775).

Almost surely, 2131500032 is an apocalyptic number.

131500032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131500032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185749200).

131500032 is an abundant number, since it is smaller than the sum of its proper divisors (239998368).

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

131500032 is a wasteful number, since it uses less digits than its factorization.

131500032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 131500032 is about 11467.3463364459. The cubic root of 131500032 is about 508.5206805159.

Adding to 131500032 its reverse (230005131), we get a palindrome (361505163).

The spelling of 131500032 in words is "one hundred thirty-one million, five hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1259 1536 1632 2048 2176 2518 3072 3264 3777 4352 5036 6144 6528 7554 8704 10072 13056 15108 17408 20144 21403 26112 30216 34816 40288 42806 52224 60432 64209 80576 85612 104448 120864 128418 161152 171224 241728 256836 322304 342448 483456 513672 644608 684896 966912 1027344 1289216 1369792 1933824 2054688 2578432 2739584 3867648 4109376 5479168 7735296 8218752 10958336 16437504 21916672 32875008 43833344 65750016 131500032