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131503760 = 2451643797
BaseRepresentation
bin1111101011010…
…01011010010000
3100011110002020122
413311221122100
5232131110020
621014325412
73154522613
oct765513220
9304402218
10131503760
11682597a3
1238059868
132132409b
141367217a
15b829125
hex7d69690

131503760 has 20 divisors (see below), whose sum is σ = 305746428. Its totient is φ = 52601472.

The previous prime is 131503753. The next prime is 131503763. The reversal of 131503760 is 67305131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 14258176 + 117245584 = 3776^2 + 10828^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (131503763) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 821819 + ... + 821978.

Almost surely, 2131503760 is an apocalyptic number.

131503760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131503760 is an abundant number, since it is smaller than the sum of its proper divisors (174242668).

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

131503760 is a wasteful number, since it uses less digits than its factorization.

131503760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1643810 (or 1643804 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 131503760 is about 11467.5088837986. The cubic root of 131503760 is about 508.5254859575.

Adding to 131503760 its reverse (67305131), we get a palindrome (198808891).

The spelling of 131503760 in words is "one hundred thirty-one million, five hundred three thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1643797 3287594 6575188 8218985 13150376 16437970 26300752 32875940 65751880 131503760