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131335040 = 275205211
BaseRepresentation
bin1111101010000…
…00001110000000
3100011010111210202
413311000032000
5232110210130
621010544332
73153220664
oct765001600
9304114722
10131335040
1168153a61
1237b980a8
1321295355
141362a8a4
15b7e4145
hex7d40380

131335040 has 32 divisors (see below), whose sum is σ = 313974360. Its totient is φ = 52533760.

The previous prime is 131335027. The next prime is 131335067. The reversal of 131335040 is 40533131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 101966 + ... + 103245.

Almost surely, 2131335040 is an apocalyptic number.

131335040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131335040 is an abundant number, since it is smaller than the sum of its proper divisors (182639320).

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

131335040 is an equidigital number, since it uses as much as digits as its factorization.

131335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205230 (or 205218 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 131335040 is about 11460.1500862772. The cubic root of 131335040 is about 508.3079126110.

Adding to 131335040 its reverse (40533131), we get a palindrome (171868171).

The spelling of 131335040 in words is "one hundred thirty-one million, three hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 205211 410422 820844 1026055 1641688 2052110 3283376 4104220 6566752 8208440 13133504 16416880 26267008 32833760 65667520 131335040