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690065280 = 27325472549
BaseRepresentation
bin101001001000011…
…000111110000000
31210002110221121100
4221020120332000
52403124042110
6152250254400
723046313062
oct5110307600
91702427540
10690065280
11324584293
12173127400
13acc71468
146790d732
15408adbc0
hex29218f80

690065280 has 192 divisors, whose sum is σ = 2434536000. Its totient is φ = 180031488.

The previous prime is 690065267. The next prime is 690065291. The reversal of 690065280 is 82560096.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×6900652802 = 952380181322956800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269446 + ... + 271994.

It is an arithmetic number, because the mean of its divisors is an integer number (12679875).

Almost surely, 2690065280 is an apocalyptic number.

690065280 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 690065280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217268000).

690065280 is an abundant number, since it is smaller than the sum of its proper divisors (1744470720).

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

690065280 is a wasteful number, since it uses less digits than its factorization.

690065280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 690065280 is about 26269.0936273028. The cubic root of 690065280 is about 883.6834585292.

The spelling of 690065280 in words is "six hundred ninety million, sixty-five thousand, two hundred eighty".