Search a number
-
+
212979006 = 232107110581
BaseRepresentation
bin11001011000111…
…00110100111110
3112211202110021100
430230130310332
5414010312011
633044513530
75164202022
oct1454346476
9484673240
10212979006
11aa248309
125b3ab8a6
133517caa6
1420400382
1513a6ed56
hexcb1cd3e

212979006 has 24 divisors (see below), whose sum is σ = 465771384. Its totient is φ = 70328880.

The previous prime is 212979001. The next prime is 212979017. The reversal of 212979006 is 600979212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212979001) 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, 53365 + ... + 57216.

It is an arithmetic number, because the mean of its divisors is an integer number (19407141).

Almost surely, 2212979006 is an apocalyptic number.

212979006 is an abundant number, since it is smaller than the sum of its proper divisors (252792378).

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

212979006 is a wasteful number, since it uses less digits than its factorization.

212979006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110696 (or 110693 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 212979006 is about 14593.8002590141. The cubic root of 212979006 is about 597.1896403501.

It can be divided in two parts, 21297 and 9006, that added together give a palindrome (30303).

The spelling of 212979006 in words is "two hundred twelve million, nine hundred seventy-nine thousand, six".

Divisors: 1 2 3 6 9 18 107 214 321 642 963 1926 110581 221162 331743 663486 995229 1990458 11832167 23664334 35496501 70993002 106489503 212979006