Search a number
-
+
4140608 = 26312087
BaseRepresentation
bin1111110010111001000000
321210100211212
433302321000
52024444413
6224425252
750123513
oct17627100
97710755
104140608
11237899a
121478228
13b1c884
1479ad7a
1556bca8
hex3f2e40

4140608 has 28 divisors (see below), whose sum is σ = 8485632. Its totient is φ = 2002560.

The previous prime is 4140607. The next prime is 4140611. The reversal of 4140608 is 8060414.

It is a happy number.

4140608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (4140607) 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, 941 + ... + 3027.

Almost surely, 24140608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242816).

4140608 is an abundant number, since it is smaller than the sum of its proper divisors (4345024).

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

4140608 is a wasteful number, since it uses less digits than its factorization.

4140608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4140608 is about 2034.8483973014. The cubic root of 4140608 is about 160.5787374529.

The spelling of 4140608 in words is "four million, one hundred forty thousand, six hundred eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1984 2087 4174 8348 16696 33392 64697 66784 129394 133568 258788 517576 1035152 2070304 4140608