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3680007 = 317591223
BaseRepresentation
bin1110000010011100000111
320220222000120
432002130013
51420230012
6210513023
743164612
oct16023407
96828016
103680007
112093931
121295773
139bb026
146bb179
154ca58c
hex382707

3680007 has 16 divisors (see below), whose sum is σ = 5287680. Its totient is φ = 2268032.

The previous prime is 3679999. The next prime is 3680011. The reversal of 3680007 is 7000863.

It is a cyclic number.

It is not a de Polignac number, because 3680007 - 23 = 3679999 is a prime.

It is an Ulam number.

3680007 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680407) 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, 2398 + ... + 3620.

It is an arithmetic number, because the mean of its divisors is an integer number (330480).

Almost surely, 23680007 is an apocalyptic number.

3680007 is a deficient number, since it is larger than the sum of its proper divisors (1607673).

3680007 is a wasteful number, since it uses less digits than its factorization.

3680007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3680007 is about 1918.3344338253. The cubic root of 3680007 is about 154.3889504787.

The spelling of 3680007 in words is "three million, six hundred eighty thousand, seven".

Divisors: 1 3 17 51 59 177 1003 1223 3009 3669 20791 62373 72157 216471 1226669 3680007