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131502432 = 2536412137
BaseRepresentation
bin1111101011010…
…01000101100000
3100011110000102110
413311221011200
5232131034212
621014315320
73154516005
oct765510540
9304400373
10131502432
11682587a6
1238058b40
13213235b9
14136718ac
15b828a3c
hex7d69160

131502432 has 48 divisors (see below), whose sum is σ = 345894192. Its totient is φ = 43745280.

The previous prime is 131502409. The next prime is 131502499. The reversal of 131502432 is 234205131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 131502399 and 131502408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60468 + ... + 62604.

It is an arithmetic number, because the mean of its divisors is an integer number (7206129).

Almost surely, 2131502432 is an apocalyptic number.

131502432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131502432 is an abundant number, since it is smaller than the sum of its proper divisors (214391760).

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

131502432 is a wasteful number, since it uses less digits than its factorization.

131502432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 131502432 is about 11467.4509809286. The cubic root of 131502432 is about 508.5237741582.

Adding to 131502432 its reverse (234205131), we get a palindrome (365707563).

The spelling of 131502432 in words is "one hundred thirty-one million, five hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 641 1282 1923 2137 2564 3846 4274 5128 6411 7692 8548 10256 12822 15384 17096 20512 25644 30768 34192 51288 61536 68384 102576 205152 1369817 2739634 4109451 5479268 8218902 10958536 16437804 21917072 32875608 43834144 65751216 131502432