Search a number
-
+
4000975 = 521114549
BaseRepresentation
bin1111010000110011001111
321112021022021
433100303033
52011012400
6221431011
746002436
oct17206317
97467267
104000975
112292aa0
12140b467
13aa1154
1476211d
1554071a
hex3d0ccf

4000975 has 12 divisors (see below), whose sum is σ = 5412600. Its totient is φ = 2909600.

The previous prime is 4000957. The next prime is 4000979. The reversal of 4000975 is 5790004.

It is a de Polignac number, because none of the positive numbers 2k-4000975 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7000 + ... + 7549.

It is an arithmetic number, because the mean of its divisors is an integer number (451050).

Almost surely, 24000975 is an apocalyptic number.

4000975 is a deficient number, since it is larger than the sum of its proper divisors (1411625).

4000975 is a wasteful number, since it uses less digits than its factorization.

4000975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14570 (or 14565 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 4000975 is about 2000.2437351483. The cubic root of 4000975 is about 158.7530017826.

Adding to 4000975 its reverse (5790004), we get a palindrome (9790979).

The spelling of 4000975 in words is "four million, nine hundred seventy-five", and thus it is an aban number.

Divisors: 1 5 11 25 55 275 14549 72745 160039 363725 800195 4000975