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4002040 = 235714293
BaseRepresentation
bin1111010001000011111000
321112022202201
433101003320
52011031130
6221435544
746005520
oct17210370
97468681
104002040
112293879
12140bbb4
13aa1793
14762680
15540bca
hex3d10f8

4002040 has 32 divisors (see below), whose sum is σ = 10291680. Its totient is φ = 1372032.

The previous prime is 4002017. The next prime is 4002041. The reversal of 4002040 is 402004.

4002040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002041) 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 7 ways as a sum of consecutive naturals, for example, 6867 + ... + 7426.

It is an arithmetic number, because the mean of its divisors is an integer number (321615).

Almost surely, 24002040 is an apocalyptic number.

4002040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002040 is an abundant number, since it is smaller than the sum of its proper divisors (6289640).

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

4002040 is a wasteful number, since it uses less digits than its factorization.

4002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14311 (or 14307 counting only the distinct ones).

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

The square root of 4002040 is about 2000.5099349916. The cubic root of 4002040 is about 158.7670864284.

Adding to 4002040 its reverse (402004), we get a palindrome (4404044).

The spelling of 4002040 in words is "four million, two thousand, forty", and thus it is an eban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 14293 28586 57172 71465 100051 114344 142930 200102 285860 400204 500255 571720 800408 1000510 2001020 4002040