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1690564608 = 211354379
BaseRepresentation
bin110010011000011…
…1111100000000000
311100211002120200000
41210300333200000
511430241031413
6435430400000
756615363535
oct14460774000
94324076600
101690564608
11798309237
123b2200000
1320c3249b5
1412074ad8c
159d63d073
hex64c3f800

1690564608 has 288 divisors, whose sum is σ = 5246841600. Its totient is φ = 543449088.

The previous prime is 1690564543. The next prime is 1690564619. The reversal of 1690564608 is 8064650961.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 21399513 + ... + 21399591.

It is an arithmetic number, because the mean of its divisors is an integer number (18218200).

Almost surely, 21690564608 is an apocalyptic number.

1690564608 is a gapful number since it is divisible by the number (18) 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 1690564608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623420800).

1690564608 is an abundant number, since it is smaller than the sum of its proper divisors (3556276992).

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

1690564608 is an frugal number, since it uses more digits than its factorization.

1690564608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 1690564608 is about 41116.4761135971. The cubic root of 1690564608 is about 1191.2710586094.

The spelling of 1690564608 in words is "one billion, six hundred ninety million, five hundred sixty-four thousand, six hundred eight".