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12804534 = 233594019
BaseRepresentation
bin110000110110…
…000110110110
3220002112112000
4300312012312
511234221114
61134240130
7213560001
oct60660666
926075460
1012804534
117256266
124356046
132864262
1419b4538
1511cde09
hexc361b6

12804534 has 32 divisors (see below), whose sum is σ = 28944000. Its totient is φ = 4194792.

The previous prime is 12804529. The next prime is 12804551. The reversal of 12804534 is 43540821.

12804534 is a `hidden beast` number, since 128 + 0 + 4 + 534 = 666.

12804534 is digitally balanced in base 2 and base 4, because in such bases 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 junction number, because it is equal to n+sod(n) for n = 12804498 and 12804507.

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, 1177 + ... + 5195.

It is an arithmetic number, because the mean of its divisors is an integer number (904500).

Almost surely, 212804534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12804534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14472000).

12804534 is an abundant number, since it is smaller than the sum of its proper divisors (16139466).

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

12804534 is a wasteful number, since it uses less digits than its factorization.

12804534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 12804534 is about 3578.3423536604. The cubic root of 12804534 is about 233.9490355807.

It can be divided in two parts, 12 and 804534, that added together give a triangular number (804546 = T1268).

The spelling of 12804534 in words is "twelve million, eight hundred four thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 531 1062 1593 3186 4019 8038 12057 24114 36171 72342 108513 217026 237121 474242 711363 1422726 2134089 4268178 6402267 12804534