Search a number
-
+
690622464 = 2123723137
BaseRepresentation
bin101001001010100…
…001000000000000
31210010112020220210
4221022201000000
52403244404324
6152310234120
723054123400
oct5112410000
91703466823
10690622464
11324924974
12173355940
13b0107c5c
1467a16800
154096dd29
hex292a1000

690622464 has 312 divisors, whose sum is σ = 2270938368. Its totient is φ = 185794560.

The previous prime is 690622463. The next prime is 690622477. The reversal of 690622464 is 464226096.

It is not an unprimeable number, because it can be changed into a prime (690622463) 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 23 ways as a sum of consecutive naturals, for example, 18665454 + ... + 18665490.

Almost surely, 2690622464 is an apocalyptic number.

690622464 is a gapful number since it is divisible by the number (64) 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 690622464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135469184).

690622464 is an abundant number, since it is smaller than the sum of its proper divisors (1580315904).

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

690622464 is a wasteful number, since it uses less digits than its factorization.

690622464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 690622464 is about 26279.6968019039. The cubic root of 690622464 is about 883.9212340158.

The spelling of 690622464 in words is "six hundred ninety million, six hundred twenty-two thousand, four hundred sixty-four".