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12042693 = 3213102929
BaseRepresentation
bin101101111100…
…000111000101
3211122211110200
4231330013011
511040331233
61110041113
7204234615
oct55740705
924584420
1012042693
116885943
124049199
132658570
141856a45
1510cd313
hexb7c1c5

12042693 has 12 divisors (see below), whose sum is σ = 18733260. Its totient is φ = 7410816.

The previous prime is 12042691. The next prime is 12042697. The reversal of 12042693 is 39624021.

It can be written as a sum of positive squares in 2 ways, for example, as 7518564 + 4524129 = 2742^2 + 2127^2 .

It is not a de Polignac number, because 12042693 - 21 = 12042691 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 (12042691) 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 11 ways as a sum of consecutive naturals, for example, 51348 + ... + 51581.

It is an arithmetic number, because the mean of its divisors is an integer number (1561105).

Almost surely, 212042693 is an apocalyptic number.

12042693 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12042693 is a deficient number, since it is larger than the sum of its proper divisors (6690567).

12042693 is a wasteful number, since it uses less digits than its factorization.

12042693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102948 (or 102945 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 12042693 is about 3470.2583477315. The cubic root of 12042693 is about 229.2140343005.

The spelling of 12042693 in words is "twelve million, forty-two thousand, six hundred ninety-three".

Divisors: 1 3 9 13 39 117 102929 308787 926361 1338077 4014231 12042693