Search a number
-
+
3036957 = 371113147
BaseRepresentation
bin1011100101011100011101
312201021220220
423211130131
51234140312
6145031553
734546050
oct13453435
95637826
103036957
111794790
1210255b9
13824421
14590a97
153eec8c
hex2e571d

3036957 has 16 divisors (see below), whose sum is σ = 5048832. Its totient is φ = 1577520.

The previous prime is 3036949. The next prime is 3036959. The reversal of 3036957 is 7596303.

It is not a de Polignac number, because 3036957 - 23 = 3036949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

3036957 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3036959) 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 15 ways as a sum of consecutive naturals, for example, 6343 + ... + 6804.

It is an arithmetic number, because the mean of its divisors is an integer number (315552).

Almost surely, 23036957 is an apocalyptic number.

It is an amenable number.

3036957 is a deficient number, since it is larger than the sum of its proper divisors (2011875).

3036957 is a wasteful number, since it uses less digits than its factorization.

3036957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13168.

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 3036957 is about 1742.6867188339. The cubic root of 3036957 is about 144.8147773702.

3036957 divided by its sum of digits (33) gives a palindrome (92029).

It can be divided in two parts, 3036 and 957, that added together give a palindrome (3993).

The spelling of 3036957 in words is "three million, thirty-six thousand, nine hundred fifty-seven".

Divisors: 1 3 7 11 21 33 77 231 13147 39441 92029 144617 276087 433851 1012319 3036957