Search a number
-
+
7003968 = 26336479
BaseRepresentation
bin11010101101111101000000
3111011211122020
4122231331000
53243111333
6410041440
7113350506
oct32557500
914154566
107003968
113a54204
122419280
1315b2c7a
14d04676
159353b3
hex6adf40

7003968 has 28 divisors (see below), whose sum is σ = 18531840. Its totient is φ = 2334592.

The previous prime is 7003963. The next prime is 7003991. The reversal of 7003968 is 8693007.

It is a happy number.

7003968 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7003961) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18048 + ... + 18431.

Almost surely, 27003968 is an apocalyptic number.

It is an amenable number.

7003968 is an abundant number, since it is smaller than the sum of its proper divisors (11527872).

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

7003968 is a wasteful number, since it uses less digits than its factorization.

7003968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36494 (or 36484 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 7003968 is about 2646.5010863402. The cubic root of 7003968 is about 191.3292567398.

It can be divided in two parts, 70039 and 68, that added together give a palindrome (70107).

The spelling of 7003968 in words is "seven million, three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 36479 72958 109437 145916 218874 291832 437748 583664 875496 1167328 1750992 2334656 3501984 7003968