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12042409 = 1719231621
BaseRepresentation
bin101101111100…
…000010101001
3211122211002011
4231330002221
511040324114
61110035521
7204234031
oct55740251
924584064
1012042409
116885705
124048ba1
1326583b2
1418568c1
1510cd1c4
hexb7c0a9

12042409 has 16 divisors (see below), whose sum is σ = 14014080. Its totient is φ = 10264320.

The previous prime is 12042391. The next prime is 12042419. The reversal of 12042409 is 90424021.

12042409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12042409 - 211 = 12040361 is a prime.

It is a super-3 number, since 3×120424093 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12042409.

It is not an unprimeable number, because it can be changed into a prime (12042419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6619 + ... + 8239.

It is an arithmetic number, because the mean of its divisors is an integer number (875880).

Almost surely, 212042409 is an apocalyptic number.

12042409 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

12042409 is a deficient number, since it is larger than the sum of its proper divisors (1971671).

12042409 is a wasteful number, since it uses less digits than its factorization.

12042409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 12042409 is about 3470.2174283465. The cubic root of 12042409 is about 229.2122324528.

It can be divided in two parts, 1204 and 2409, that multiplied together give a triangular number (2900436 = T2408).

The spelling of 12042409 in words is "twelve million, forty-two thousand, four hundred nine".

Divisors: 1 17 19 23 323 391 437 1621 7429 27557 30799 37283 523583 633811 708377 12042409