Search a number
-
+
131809932 = 22324917457
BaseRepresentation
bin1111101101101…
…00001010001100
3100012000122020100
413312310022030
5232220404212
621025051100
73160236342
oct766641214
9305018210
10131809932
1168448831
1238186a90
1321400557
1413711992
15b889bdc
hex7db428c

131809932 has 36 divisors (see below), whose sum is σ = 333909576. Its totient is φ = 43841280.

The previous prime is 131809913. The next prime is 131809939. The reversal of 131809932 is 239908131.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (131809939) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13948 + ... + 21404.

It is an arithmetic number, because the mean of its divisors is an integer number (9275266).

Almost surely, 2131809932 is an apocalyptic number.

131809932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131809932 is an abundant number, since it is smaller than the sum of its proper divisors (202099644).

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

131809932 is a wasteful number, since it uses less digits than its factorization.

131809932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7958 (or 7953 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 131809932 is about 11480.8506653471. The cubic root of 131809932 is about 508.9198361229.

It can be divided in two parts, 1318099 and 32, that added together give a palindrome (1318131).

The spelling of 131809932 in words is "one hundred thirty-one million, eight hundred nine thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 491 982 1473 1964 2946 4419 5892 7457 8838 14914 17676 22371 29828 44742 67113 89484 134226 268452 3661387 7322774 10984161 14645548 21968322 32952483 43936644 65904966 131809932