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12077973 = 321778941
BaseRepresentation
bin101110000100…
…101110010101
3211201121212100
4232010232111
511042443343
61110512313
7204442515
oct56045625
924647770
1012077973
1168aa3a6
124065699
13266b63b
141865845
1510d89d3
hexb84b95

12077973 has 12 divisors (see below), whose sum is σ = 18472428. Its totient is φ = 7578240.

The previous prime is 12077959. The next prime is 12077981. The reversal of 12077973 is 37977021.

12077973 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 5560164 + 6517809 = 2358^2 + 2553^2 .

It is not a de Polignac number, because 12077973 - 24 = 12077957 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12077983) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39318 + ... + 39623.

It is an arithmetic number, because the mean of its divisors is an integer number (1539369).

Almost surely, 212077973 is an apocalyptic number.

It is an amenable number.

12077973 is a deficient number, since it is larger than the sum of its proper divisors (6394455).

12077973 is a wasteful number, since it uses less digits than its factorization.

12077973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78964 (or 78961 counting only the distinct ones).

The product of its (nonzero) digits is 18522, while the sum is 36.

The square root of 12077973 is about 3475.3378253056. The cubic root of 12077973 is about 229.4376494868.

It can be divided in two parts, 1207 and 7973, that added together give a triangular number (9180 = T135).

The spelling of 12077973 in words is "twelve million, seventy-seven thousand, nine hundred seventy-three".

Divisors: 1 3 9 17 51 153 78941 236823 710469 1341997 4025991 12077973