Search a number
-
+
12989052 = 2233127947
BaseRepresentation
bin110001100011…
…001001111100
3220102220122000
4301203021330
511311122202
61142222300
7215255646
oct61431174
926386560
1012989052
11737195a
124424990
1328ca23b
141a21896
15121891c
hexc6327c

12989052 has 48 divisors (see below), whose sum is σ = 33976320. Its totient is φ = 4291056.

The previous prime is 12989033. The next prime is 12989057. The reversal of 12989052 is 25098921.

12989052 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 (36).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 12988998 and 12989016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12989057) 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, 13243 + ... + 14189.

It is an arithmetic number, because the mean of its divisors is an integer number (707840).

Almost surely, 212989052 is an apocalyptic number.

12989052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12989052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16988160).

12989052 is an abundant number, since it is smaller than the sum of its proper divisors (20987268).

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

12989052 is a wasteful number, since it uses less digits than its factorization.

12989052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 12989052 is about 3604.0327412497. The cubic root of 12989052 is about 235.0674440493.

The spelling of 12989052 in words is "twelve million, nine hundred eighty-nine thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 127 254 381 508 762 947 1143 1524 1894 2286 2841 3429 3788 4572 5682 6858 8523 11364 13716 17046 25569 34092 51138 102276 120269 240538 360807 481076 721614 1082421 1443228 2164842 3247263 4329684 6494526 12989052