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67131315 = 335497269
BaseRepresentation
bin1000000000001…
…01011110110011
311200022121212000
410000011132303
5114141200230
610354505043
71443415056
oct400053663
9150277760
1067131315
1134991829
121a595183
1310ba5b94
148cb6a9d
155d60b60
hex40057b3

67131315 has 16 divisors (see below), whose sum is σ = 119344800. Its totient is φ = 35803296.

The previous prime is 67131269. The next prime is 67131329. The reversal of 67131315 is 51313176.

It is not a de Polignac number, because 67131315 - 210 = 67130291 is a prime.

It is a super-2 number, since 2×671313152 = 9013226907258450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 248500 + ... + 248769.

It is an arithmetic number, because the mean of its divisors is an integer number (7459050).

Almost surely, 267131315 is an apocalyptic number.

67131315 is a deficient number, since it is larger than the sum of its proper divisors (52213485).

67131315 is a wasteful number, since it uses less digits than its factorization.

67131315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497283 (or 497277 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 67131315 is about 8193.3701857050. The cubic root of 67131315 is about 406.4199812539.

The spelling of 67131315 in words is "sixty-seven million, one hundred thirty-one thousand, three hundred fifteen".

Divisors: 1 3 5 9 15 27 45 135 497269 1491807 2486345 4475421 7459035 13426263 22377105 67131315