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11972144 = 242332533
BaseRepresentation
bin101101101010…
…111000110000
3211112020200202
4231222320300
511031102034
61104334332
7203522132
oct55527060
924466622
1011972144
116837938
1240143a8
132632412
141839052
1510b747e
hexb6ae30

11972144 has 20 divisors (see below), whose sum is σ = 24205296. Its totient is φ = 5725632.

The previous prime is 11972143. The next prime is 11972153. The reversal of 11972144 is 44127911.

11972144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11972141) 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, 15899 + ... + 16634.

Almost surely, 211972144 is an apocalyptic number.

It is an amenable number.

11972144 is an abundant number, since it is smaller than the sum of its proper divisors (12233152).

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

11972144 is a wasteful number, since it uses less digits than its factorization.

11972144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32564 (or 32558 counting only the distinct ones).

The product of its digits is 2016, while the sum is 29.

The square root of 11972144 is about 3460.0786118237. The cubic root of 11972144 is about 228.7655603696.

The spelling of 11972144 in words is "eleven million, nine hundred seventy-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 92 184 368 32533 65066 130132 260264 520528 748259 1496518 2993036 5986072 11972144