Search a number
-
+
700568064 = 2932737587
BaseRepresentation
bin101001110000011…
…101001000000000
31210211020112201100
4221300131020000
52413321134224
6153303334400
723234505330
oct5160351000
91724215640
10700568064
1132a4a8179
12176751400
13b21aab21
14690850c0
1541785ac9
hex29c1d200

700568064 has 240 divisors, whose sum is σ = 2377222848. Its totient is φ = 194420736.

The previous prime is 700568023. The next prime is 700568087. The reversal of 700568064 is 460865007.

It is a happy number.

It is a super-2 number, since 2×7005680642 = 981591224593416192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1193179 + ... + 1193765.

Almost surely, 2700568064 is an apocalyptic number.

700568064 is a gapful number since it is divisible by the number (74) 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 700568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188611424).

700568064 is an abundant number, since it is smaller than the sum of its proper divisors (1676654784).

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

700568064 is a wasteful number, since it uses less digits than its factorization.

700568064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 700568064 is about 26468.2463340509. The cubic root of 700568064 is about 888.1441207523.

The spelling of 700568064 in words is "seven hundred million, five hundred sixty-eight thousand, sixty-four".