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12077361 = 3217193409
BaseRepresentation
bin101110000100…
…100100110001
3211201121000200
4232010210301
511042433421
61110505413
7204440652
oct56044461
924647020
1012077361
1168a999a
124065269
13266b28a
141865529
1510d8726
hexb84931

12077361 has 24 divisors (see below), whose sum is σ = 18612360. Its totient is φ = 7520256.

The previous prime is 12077357. The next prime is 12077371. The reversal of 12077361 is 16377021.

It can be written as a sum of positive squares in 4 ways, for example, as 4410000 + 7667361 = 2100^2 + 2769^2 .

It is not a de Polignac number, because 12077361 - 22 = 12077357 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12077371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29325 + ... + 29733.

It is an arithmetic number, because the mean of its divisors is an integer number (775515).

Almost surely, 212077361 is an apocalyptic number.

It is an amenable number.

12077361 is a deficient number, since it is larger than the sum of its proper divisors (6534999).

12077361 is a wasteful number, since it uses less digits than its factorization.

12077361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 12077361 is about 3475.2497751960. The cubic root of 12077361 is about 229.4337741617.

The spelling of 12077361 in words is "twelve million, seventy-seven thousand, three hundred sixty-one".

Divisors: 1 3 9 17 51 153 193 409 579 1227 1737 3281 3681 6953 9843 20859 29529 62577 78937 236811 710433 1341929 4025787 12077361