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12990072 = 2331961467
BaseRepresentation
bin110001100011…
…011001111000
3220102222000210
4301203121320
511311140242
61142231120
7215261634
oct61433170
926388023
1012990072
1173726a7
1244254a0
1328ca844
141a21dc4
151218d9c
hexc63678

12990072 has 64 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 4026240.

The previous prime is 12990059. The next prime is 12990079. The reversal of 12990072 is 27009921.

12990072 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (12990079) 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, 27583 + ... + 28049.

It is an arithmetic number, because the mean of its divisors is an integer number (544050).

Almost surely, 212990072 is an apocalyptic number.

12990072 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 12990072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

12990072 is an abundant number, since it is smaller than the sum of its proper divisors (21829128).

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

12990072 is a wasteful number, since it uses less digits than its factorization.

12990072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 12990072 is about 3604.1742466202. The cubic root of 12990072 is about 235.0735969878.

Adding to 12990072 its reverse (27009921), we get a palindrome (39999993).

The spelling of 12990072 in words is "twelve million, nine hundred ninety thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 61 76 114 122 152 183 228 244 366 456 467 488 732 934 1159 1401 1464 1868 2318 2802 3477 3736 4636 5604 6954 8873 9272 11208 13908 17746 26619 27816 28487 35492 53238 56974 70984 85461 106476 113948 170922 212952 227896 341844 541253 683688 1082506 1623759 2165012 3247518 4330024 6495036 12990072