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690422400 = 27335261131
BaseRepresentation
bin101001001001110…
…000001010000000
31210010011002111000
4221021300022000
52403222004100
6152302052000
723052331203
oct5111601200
91703132430
10690422400
113247a8628
1217327a000
13b0067b85
14679a393a
154092e900
hex29270280

690422400 has 384 divisors, whose sum is σ = 2587780800. Its totient is φ = 179712000.

The previous prime is 690422387. The next prime is 690422417. The reversal of 690422400 is 4224096.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5270335 + ... + 5270465.

Almost surely, 2690422400 is an apocalyptic number.

690422400 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 690422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293890400).

690422400 is an abundant number, since it is smaller than the sum of its proper divisors (1897358400).

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

690422400 is a wasteful number, since it uses less digits than its factorization.

690422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 690422400 is about 26275.8900895859. The cubic root of 690422400 is about 883.8358724250.

Adding to 690422400 its reverse (4224096), we get a palindrome (694646496).

The spelling of 690422400 in words is "six hundred ninety million, four hundred twenty-two thousand, four hundred".