Search a number
-
+
131723540 = 22513506629
BaseRepresentation
bin1111101100111…
…11000100010100
3100011212020201122
413312133010110
5232210123130
621023143112
73156426434
oct766370424
9304766648
10131723540
1168399933
1238144a98
13213a0130
14136cc2c4
15b86e2e5
hex7d9f114

131723540 has 24 divisors (see below), whose sum is σ = 297898440. Its totient is φ = 48636288.

The previous prime is 131723533. The next prime is 131723549. The reversal of 131723540 is 45327131.

131723540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 18215824 + 113507716 = 4268^2 + 10654^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131723549) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253055 + ... + 253574.

It is an arithmetic number, because the mean of its divisors is an integer number (12412435).

Almost surely, 2131723540 is an apocalyptic number.

131723540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131723540 is an abundant number, since it is smaller than the sum of its proper divisors (166174900).

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

131723540 is a wasteful number, since it uses less digits than its factorization.

131723540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506651 (or 506649 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 131723540 is about 11477.0876096682. The cubic root of 131723540 is about 508.8086249494.

The spelling of 131723540 in words is "one hundred thirty-one million, seven hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 506629 1013258 2026516 2533145 5066290 6586177 10132580 13172354 26344708 32930885 65861770 131723540