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13387005 = 335531871
BaseRepresentation
bin110011000100…
…010011111101
3221012010112000
4303010103331
511411341010
61154532513
7221534112
oct63042375
927163460
1013387005
117613945
124597139
132a09408
141ac6909
1512967c0
hexcc44fd

13387005 has 32 divisors (see below), whose sum is σ = 24261120. Its totient is φ = 7001280.

The previous prime is 13386991. The next prime is 13387043. The reversal of 13387005 is 50078331.

It is not a de Polignac number, because 13387005 - 212 = 13382909 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13387005.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6220 + ... + 8090.

It is an arithmetic number, because the mean of its divisors is an integer number (758160).

Almost surely, 213387005 is an apocalyptic number.

13387005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13387005 is a deficient number, since it is larger than the sum of its proper divisors (10874115).

13387005 is a wasteful number, since it uses less digits than its factorization.

13387005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 13387005 is about 3658.8256312648. The cubic root of 13387005 is about 237.4439683147.

The spelling of 13387005 in words is "thirteen million, three hundred eighty-seven thousand, five".

Divisors: 1 3 5 9 15 27 45 53 135 159 265 477 795 1431 1871 2385 5613 7155 9355 16839 28065 50517 84195 99163 252585 297489 495815 892467 1487445 2677401 4462335 13387005