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131886540 = 22325732703
BaseRepresentation
bin1111101110001…
…10110111001100
3100012011112022200
413313012313030
5232230332130
621030441500
73161005602
oct767066714
9305145280
10131886540
11684a0345
1238203290
1321429396
1413731872
15b8a2760
hex7dc6dcc

131886540 has 36 divisors (see below), whose sum is σ = 400056384. Its totient is φ = 35169696.

The previous prime is 131886533. The next prime is 131886553. The reversal of 131886540 is 45688131.

131886540 is a `hidden beast` number, since 1 + 31 + 8 + 86 + 540 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 131886495 and 131886504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 366172 + ... + 366531.

Almost surely, 2131886540 is an apocalyptic number.

131886540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131886540 is an abundant number, since it is smaller than the sum of its proper divisors (268169844).

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

131886540 is a wasteful number, since it uses less digits than its factorization.

131886540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732718 (or 732713 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 131886540 is about 11484.1865188615. The cubic root of 131886540 is about 509.0184118511.

The spelling of 131886540 in words is "one hundred thirty-one million, eight hundred eighty-six thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 732703 1465406 2198109 2930812 3663515 4396218 6594327 7327030 8792436 10990545 13188654 14654060 21981090 26377308 32971635 43962180 65943270 131886540