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12042765 = 325738231
BaseRepresentation
bin101101111100…
…001000001101
3211122211120100
4231330020031
511040332030
61110041313
7204235050
oct55741015
924584510
1012042765
1168859a9
124049239
1326585c7
141856a97
1510cd360
hexb7c20d

12042765 has 24 divisors (see below), whose sum is σ = 23856768. Its totient is φ = 5505120.

The previous prime is 12042761. The next prime is 12042769. The reversal of 12042765 is 56724021.

12042765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12042761) and next prime (12042769).

It is not a de Polignac number, because 12042765 - 22 = 12042761 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12042761) 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, 18801 + ... + 19430.

It is an arithmetic number, because the mean of its divisors is an integer number (994032).

Almost surely, 212042765 is an apocalyptic number.

12042765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12042765 is a deficient number, since it is larger than the sum of its proper divisors (11814003).

12042765 is a wasteful number, since it uses less digits than its factorization.

12042765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38249 (or 38246 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 12042765 is about 3470.2687215834. The cubic root of 12042765 is about 229.2144911025.

Adding to 12042765 its reverse (56724021), we get a palindrome (68766786).

It can be divided in two parts, 1204 and 2765, that added together give a square (3969 = 632).

The spelling of 12042765 in words is "twelve million, forty-two thousand, seven hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 38231 114693 191155 267617 344079 573465 802851 1338085 1720395 2408553 4014255 12042765