Search a number
-
+
4006760 = 235100169
BaseRepresentation
bin1111010010001101101000
321112120020112
433102031220
52011204020
6221513452
746025342
oct17221550
97476215
104006760
11229737a
121412888
13aa3984
14764292
155422c5
hex3d2368

4006760 has 16 divisors (see below), whose sum is σ = 9015300. Its totient is φ = 1602688.

The previous prime is 4006741. The next prime is 4006763. The reversal of 4006760 is 676004.

4006760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3363556 + 643204 = 1834^2 + 802^2 .

It is not an unprimeable number, because it can be changed into a prime (4006763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50045 + ... + 50124.

Almost surely, 24006760 is an apocalyptic number.

4006760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4006760 is an abundant number, since it is smaller than the sum of its proper divisors (5008540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4006760 is a wasteful number, since it uses less digits than its factorization.

4006760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100180 (or 100176 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 4006760 is about 2001.6892865777. The cubic root of 4006760 is about 158.8294784614.

The spelling of 4006760 in words is "four million, six thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 100169 200338 400676 500845 801352 1001690 2003380 4006760