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12959442 = 2322321361
BaseRepresentation
bin110001011011…
…111011010010
3220101102000100
4301123323102
511304200232
61141433230
7215103426
oct61337322
926342010
1012959442
117351691
12440b816
1328b9912
141a14b86
15120ec7c
hexc5bed2

12959442 has 36 divisors (see below), whose sum is σ = 29374254. Its totient is φ = 4128960.

The previous prime is 12959431. The next prime is 12959449. The reversal of 12959442 is 24495921.

12959442 is a `hidden beast` number, since 1 + 29 + 594 + 42 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12383361 + 576081 = 3519^2 + 759^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12959397 and 12959406.

It is not an unprimeable number, because it can be changed into a prime (12959449) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8842 + ... + 10202.

Almost surely, 212959442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12959442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14687127).

12959442 is an abundant number, since it is smaller than the sum of its proper divisors (16414812).

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

12959442 is a wasteful number, since it uses less digits than its factorization.

12959442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1389 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 12959442 is about 3599.9224991658. The cubic root of 12959442 is about 234.8886872857. Note that the first 3 decimals are identical.

The spelling of 12959442 in words is "twelve million, nine hundred fifty-nine thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 529 1058 1361 1587 2722 3174 4083 4761 8166 9522 12249 24498 31303 62606 93909 187818 281727 563454 719969 1439938 2159907 4319814 6479721 12959442