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131728540 = 22554712041
BaseRepresentation
bin1111101101000…
…00010010011100
3100011212111120211
413312200102130
5232210303130
621023222204
73156450136
oct766402234
9304774524
10131728540
11683a2669
1238147964
13213a24a8
14136d0056
15b870a2a
hex7da049c

131728540 has 24 divisors (see below), whose sum is σ = 277158672. Its totient is φ = 52590720.

The previous prime is 131728537. The next prime is 131728549. The reversal of 131728540 is 45827131.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131728549) by changing a digit.

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, 4920 + ... + 16960.

It is an arithmetic number, because the mean of its divisors is an integer number (11548278).

Almost surely, 2131728540 is an apocalyptic number.

131728540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131728540 is an abundant number, since it is smaller than the sum of its proper divisors (145430132).

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

131728540 is a wasteful number, since it uses less digits than its factorization.

131728540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12597 (or 12595 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 131728540 is about 11477.3054328967. The cubic root of 131728540 is about 508.8150627026.

It can be divided in two parts, 13172 and 8540, that added together give a palindrome (21712).

The spelling of 131728540 in words is "one hundred thirty-one million, seven hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 547 1094 2188 2735 5470 10940 12041 24082 48164 60205 120410 240820 6586427 13172854 26345708 32932135 65864270 131728540