[go: up one dir, main page]

Search a number
-
+
4000240 = 245311613
BaseRepresentation
bin1111010000100111110000
321112020022001
433100213300
52011001430
6221423344
746000336
oct17204760
97466261
104000240
112292492
12140ab54
13aa0a0a
14761b56
155403ca
hex3d09f0

4000240 has 40 divisors (see below), whose sum is σ = 9606528. Its totient is φ = 1547520.

The previous prime is 4000237. The next prime is 4000261. The reversal of 4000240 is 420004.

4000240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1674 + ... + 3286.

Almost surely, 24000240 is an apocalyptic number.

4000240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4803264).

4000240 is an abundant number, since it is smaller than the sum of its proper divisors (5606288).

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

4000240 is a wasteful number, since it uses less digits than its factorization.

4000240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 4000240 is about 2000.0599991000. The cubic root of 4000240 is about 158.7432799354.

Adding to 4000240 its reverse (420004), we get a palindrome (4420244).

The spelling of 4000240 in words is "four million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 1613 2480 3226 6452 8065 12904 16130 25808 32260 50003 64520 100006 129040 200012 250015 400024 500030 800048 1000060 2000120 4000240