Search a number
-
+
11757268 = 2217374673
BaseRepresentation
bin101100110110…
…011011010100
3211010022221101
4230312123110
511002213033
61055555444
7201635515
oct54663324
924108841
1011757268
116700456
123b2bb84
132588683
1417c0a0c
15107397d
hexb366d4

11757268 has 24 divisors (see below), whose sum is σ = 22379112. Its totient is φ = 5382144.

The previous prime is 11757233. The next prime is 11757269. The reversal of 11757268 is 86275711.

It can be written as a sum of positive squares in 4 ways, for example, as 8928144 + 2829124 = 2988^2 + 1682^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11757269) 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 7 ways as a sum of consecutive naturals, for example, 180 + ... + 4852.

It is an arithmetic number, because the mean of its divisors is an integer number (932463).

Almost surely, 211757268 is an apocalyptic number.

It is an amenable number.

11757268 is a deficient number, since it is larger than the sum of its proper divisors (10621844).

11757268 is a wasteful number, since it uses less digits than its factorization.

11757268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4731 (or 4729 counting only the distinct ones).

The product of its digits is 23520, while the sum is 37.

The square root of 11757268 is about 3428.8872830701. The cubic root of 11757268 is about 227.3886618588.

The spelling of 11757268 in words is "eleven million, seven hundred fifty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 4 17 34 37 68 74 148 629 1258 2516 4673 9346 18692 79441 158882 172901 317764 345802 691604 2939317 5878634 11757268