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8087013 = 331173373
BaseRepresentation
bin11110110110010111100101
3120012212022000
4132312113211
54032241023
6445155513
7125511204
oct36662745
916185260
108087013
114623990
12285bb99
1318a1c1c
14110723b
15a9b243
hex7b65e5

8087013 has 32 divisors (see below), whose sum is σ = 13284480. Its totient is φ = 4821120.

The previous prime is 8087003. The next prime is 8087017. The reversal of 8087013 is 3107808.

It is a de Polignac number, because none of the positive numbers 2k-8087013 is a prime.

It is a super-3 number, since 3×80870133 (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8087017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21495 + ... + 21867.

It is an arithmetic number, because the mean of its divisors is an integer number (415140).

Almost surely, 28087013 is an apocalyptic number.

It is an amenable number.

8087013 is a deficient number, since it is larger than the sum of its proper divisors (5197467).

8087013 is a wasteful number, since it uses less digits than its factorization.

8087013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 8087013 is about 2843.7673955512. The cubic root of 8087013 is about 200.7224951940.

The spelling of 8087013 in words is "eight million, eighty-seven thousand, thirteen".

Divisors: 1 3 9 11 27 33 73 99 219 297 373 657 803 1119 1971 2409 3357 4103 7227 10071 12309 21681 27229 36927 81687 110781 245061 299519 735183 898557 2695671 8087013