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12042864 = 243361457
BaseRepresentation
bin101101111100…
…001001110000
3211122211201000
4231330021300
511040332424
61110042000
7204235251
oct55741160
924584630
1012042864
116885a89
124049300
132658672
141856b28
1510cd3c9
hexb7c270

12042864 has 80 divisors (see below), whose sum is σ = 35211040. Its totient is φ = 3939840.

The previous prime is 12042847. The next prime is 12042887. The reversal of 12042864 is 46824021.

12042864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26124 + ... + 26580.

It is an arithmetic number, because the mean of its divisors is an integer number (440138).

Almost surely, 212042864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12042864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17605520).

12042864 is an abundant number, since it is smaller than the sum of its proper divisors (23168176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12042864 is a wasteful number, since it uses less digits than its factorization.

12042864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 12042864 is about 3470.2829855791. The cubic root of 12042864 is about 229.2151192022.

Adding to 12042864 its reverse (46824021), we get a palindrome (58866885).

The spelling of 12042864 in words is "twelve million, forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 457 488 549 732 914 976 1098 1371 1464 1647 1828 2196 2742 2928 3294 3656 4113 4392 5484 6588 7312 8226 8784 10968 12339 13176 16452 21936 24678 26352 27877 32904 49356 55754 65808 83631 98712 111508 167262 197424 223016 250893 334524 446032 501786 669048 752679 1003572 1338096 1505358 2007144 3010716 4014288 6021432 12042864