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2008967 = 97139149
BaseRepresentation
bin111101010011110000111
310210001210012
413222132013
51003241332
6111020435
723035022
oct7523607
93701705
102008967
111152404
1280a71b
1355454c
143a41b9
1529a3b2
hex1ea787

2008967 has 8 divisors (see below), whose sum is σ = 2058000. Its totient is φ = 1960704.

The previous prime is 2008961. The next prime is 2008973. The reversal of 2008967 is 7698002.

It is an interprime number because it is at equal distance from previous prime (2008961) and next prime (2008973).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2008967 - 214 = 1992583 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008961) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13409 + ... + 13557.

It is an arithmetic number, because the mean of its divisors is an integer number (257250).

22008967 is an apocalyptic number.

2008967 is a deficient number, since it is larger than the sum of its proper divisors (49033).

2008967 is a wasteful number, since it uses less digits than its factorization.

2008967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385.

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 2008967 is about 1417.3803300455. The cubic root of 2008967 is about 126.1801194821.

The spelling of 2008967 in words is "two million, eight thousand, nine hundred sixty-seven".

Divisors: 1 97 139 149 13483 14453 20711 2008967