Search a number
-
+
11975072 = 251722013
BaseRepresentation
bin101101101011…
…100110100000
3211112101201012
4231223212200
511031200242
61104400052
7203533514
oct55534640
924471635
1011975072
11683a05a
124016028
132633855
14183a144
1510b8282
hexb6b9a0

11975072 has 24 divisors (see below), whose sum is σ = 24963876. Its totient is φ = 5635072.

The previous prime is 11975059. The next prime is 11975077. The reversal of 11975072 is 27057911.

11975072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11262736 + 712336 = 3356^2 + 844^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (11975077) 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, 10463 + ... + 11550.

Almost surely, 211975072 is an apocalyptic number.

It is an amenable number.

11975072 is an abundant number, since it is smaller than the sum of its proper divisors (12988804).

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

11975072 is a wasteful number, since it uses less digits than its factorization.

11975072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22040 (or 22032 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 32.

The square root of 11975072 is about 3460.5016977311. The cubic root of 11975072 is about 228.7842084069.

The spelling of 11975072 in words is "eleven million, nine hundred seventy-five thousand, seventy-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 22013 44026 88052 176104 352208 374221 704416 748442 1496884 2993768 5987536 11975072