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12833064 = 23321371301
BaseRepresentation
bin110000111101…
…000100101000
3220010222122200
4300331010220
511241124224
61135020200
7214036116
oct60750450
926128580
1012833064
117275742
12436a660
13287423a
1419c0ab6
1511d75c9
hexc3d128

12833064 has 48 divisors (see below), whose sum is σ = 35036820. Its totient is φ = 4243200.

The previous prime is 12833063. The next prime is 12833069. The reversal of 12833064 is 46033821.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11492100 + 1340964 = 3390^2 + 1158^2 .

It is not an unprimeable number, because it can be changed into a prime (12833063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9214 + ... + 10514.

Almost surely, 212833064 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 12833064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17518410).

12833064 is an abundant number, since it is smaller than the sum of its proper divisors (22203756).

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

12833064 is a wasteful number, since it uses less digits than its factorization.

12833064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 12833064 is about 3582.3266182748. The cubic root of 12833064 is about 234.1226619664.

Adding to 12833064 its reverse (46033821), we get a palindrome (58866885).

The spelling of 12833064 in words is "twelve million, eight hundred thirty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1233 1301 1644 2466 2602 3288 3903 4932 5204 7806 9864 10408 11709 15612 23418 31224 46836 93672 178237 356474 534711 712948 1069422 1425896 1604133 2138844 3208266 4277688 6416532 12833064