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690256320 = 263513194171
BaseRepresentation
bin101001001001000…
…111100111000000
31210002211122122220
4221021013213000
52403201200240
6152254331040
723051040045
oct5111074700
91702748586
10690256320
113246a4876
121731b9a80
13b000a3c0
146795d1cc
15408ea5d0
hex292479c0

690256320 has 448 divisors, whose sum is σ = 2580802560. Its totient is φ = 154828800.

The previous prime is 690256291. The next prime is 690256331. The reversal of 690256320 is 23652096.

690256320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9721885 + ... + 9721955.

It is an arithmetic number, because the mean of its divisors is an integer number (5760720).

Almost surely, 2690256320 is an apocalyptic number.

690256320 is a gapful number since it is divisible by the number (60) 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 690256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290401280).

690256320 is an abundant number, since it is smaller than the sum of its proper divisors (1890546240).

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

690256320 is a wasteful number, since it uses less digits than its factorization.

690256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 690256320 is about 26272.7295879206. The cubic root of 690256320 is about 883.7649983084.

The spelling of 690256320 in words is "six hundred ninety million, two hundred fifty-six thousand, three hundred twenty".