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131355140 = 2257938251
BaseRepresentation
bin1111101010001…
…01001000000100
3100011011112101012
413311011020010
5232111331030
621011221352
73153333410
oct765051004
9304145335
10131355140
1168168074
1237ba7858
13212a1547
1413633d40
15b7ea095
hex7d45204

131355140 has 24 divisors (see below), whose sum is σ = 315252672. Its totient is φ = 45036000.

The previous prime is 131355127. The next prime is 131355163. The reversal of 131355140 is 41553131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 468986 + ... + 469265.

It is an arithmetic number, because the mean of its divisors is an integer number (13135528).

Almost surely, 2131355140 is an apocalyptic number.

131355140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131355140 is an abundant number, since it is smaller than the sum of its proper divisors (183897532).

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

131355140 is a wasteful number, since it uses less digits than its factorization.

131355140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938267 (or 938265 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 131355140 is about 11461.0270045926. The cubic root of 131355140 is about 508.3338423955. Note that the first 3 decimals are identical.

The spelling of 131355140 in words is "one hundred thirty-one million, three hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 938251 1876502 3753004 4691255 6567757 9382510 13135514 18765020 26271028 32838785 65677570 131355140