Search a number
-
+
131033832 = 23329732579
BaseRepresentation
bin1111100111101…
…10101011101000
3100010120012121220
413303312223220
5232021040312
621000302040
73150524556
oct763665350
9303505556
10131033832
1167a68726
1237a71920
13211bb217
141358cbd6
15b784c8c
hex7cf6ae8

131033832 has 64 divisors (see below), whose sum is σ = 343656000. Its totient is φ = 41577984.

The previous prime is 131033821. The next prime is 131033873. The reversal of 131033832 is 238330131.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49519 + ... + 52097.

It is an arithmetic number, because the mean of its divisors is an integer number (5369625).

Almost surely, 2131033832 is an apocalyptic number.

131033832 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 131033832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171828000).

131033832 is an abundant number, since it is smaller than the sum of its proper divisors (212622168).

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

131033832 is a wasteful number, since it uses less digits than its factorization.

131033832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2690 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 131033832 is about 11447.0010046300. The cubic root of 131033832 is about 507.9190252648.

Adding to 131033832 its reverse (238330131), we get a palindrome (369363963).

The spelling of 131033832 in words is "one hundred thirty-one million, thirty-three thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 73 87 116 146 174 219 232 292 348 438 584 696 876 1752 2117 2579 4234 5158 6351 7737 8468 10316 12702 15474 16936 20632 25404 30948 50808 61896 74791 149582 188267 224373 299164 376534 448746 564801 598328 753068 897492 1129602 1506136 1794984 2259204 4518408 5459743 10919486 16379229 21838972 32758458 43677944 65516916 131033832