Search a number
-
+
690106368 = 2123771113
BaseRepresentation
bin101001001000100…
…011000000000000
31210002120000222010
4221020203000000
52403131400433
6152251212520
723046543630
oct5110430000
91702500863
10690106368
11324602146
12173147140
13acc87083
14679206c0
15408bae63
hex29223000

690106368 has 208 divisors, whose sum is σ = 2151415296. Its totient is φ = 192675840.

The previous prime is 690106367. The next prime is 690106393. The reversal of 690106368 is 863601096.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (690106367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6107080 + ... + 6107192.

Almost surely, 2690106368 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 690106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1075707648).

690106368 is an abundant number, since it is smaller than the sum of its proper divisors (1461308928).

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

690106368 is a wasteful number, since it uses less digits than its factorization.

690106368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 690106368 is about 26269.8756753815. The cubic root of 690106368 is about 883.7009969981.

The spelling of 690106368 in words is "six hundred ninety million, one hundred six thousand, three hundred sixty-eight".