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2984007 = 313194027
BaseRepresentation
bin1011011000100001000111
312121121021210
423120201013
51230442012
6143542503
734235505
oct13304107
95547253
102984007
111758a24
12bbaa33
138062b0
14579675
153de23c
hex2d8847

2984007 has 16 divisors (see below), whose sum is σ = 4511360. Its totient is φ = 1739232.

The previous prime is 2983987. The next prime is 2984039. The reversal of 2984007 is 7004892.

It is not a de Polignac number, because 2984007 - 26 = 2983943 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

2984007 is a lucky number.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2984057) 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, 1273 + ... + 2754.

It is an arithmetic number, because the mean of its divisors is an integer number (281960).

22984007 is an apocalyptic number.

2984007 is a deficient number, since it is larger than the sum of its proper divisors (1527353).

2984007 is a wasteful number, since it uses less digits than its factorization.

2984007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062.

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 2984007 is about 1727.4278566701. The cubic root of 2984007 is about 143.9682125051.

Adding to 2984007 its reverse (7004892), we get a palindrome (9988899).

The spelling of 2984007 in words is "two million, nine hundred eighty-four thousand, seven".

Divisors: 1 3 13 19 39 57 247 741 4027 12081 52351 76513 157053 229539 994669 2984007