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2585007 = 33195039
BaseRepresentation
bin1001110111000110101111
311212022222000
421313012233
51130210012
6131223343
730654315
oct11670657
94768860
102585007
111506177
12a47b53
136c67b9
144b40b5
15360ddc
hex2771af

2585007 has 16 divisors (see below), whose sum is σ = 4032000. Its totient is φ = 1632312.

The previous prime is 2584999. The next prime is 2585029. The reversal of 2585007 is 7005852.

It is a happy number.

It is not a de Polignac number, because 2585007 - 23 = 2584999 is a prime.

It is a super-2 number, since 2×25850072 = 13364522380098, which contains 22 as substring.

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

2585007 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2585057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2007 + ... + 3032.

It is an arithmetic number, because the mean of its divisors is an integer number (252000).

22585007 is an apocalyptic number.

2585007 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2585007 is a deficient number, since it is larger than the sum of its proper divisors (1446993).

2585007 is a wasteful number, since it uses less digits than its factorization.

2585007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5067 (or 5061 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 2585007 is about 1607.7956959763. The cubic root of 2585007 is about 137.2420640997.

The spelling of 2585007 in words is "two million, five hundred eighty-five thousand, seven".

Divisors: 1 3 9 19 27 57 171 513 5039 15117 45351 95741 136053 287223 861669 2585007