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1689107904 = 263411191559
BaseRepresentation
bin110010010101101…
…1011110111000000
311100201100120110000
41210223123313000
511424402423104
6435335240000
756600115561
oct14453336700
94321316400
101689107904
11797503850
123b1819000
1320bc34943
1412048c168
159d451639
hex64adbdc0

1689107904 has 280 divisors, whose sum is σ = 5753404800. Its totient is φ = 484600320.

The previous prime is 1689107887. The next prime is 1689107921. The reversal of 1689107904 is 4097019861.

It is a happy number.

1689107904 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1689107887) and next prime (1689107921).

It is a super-2 number, since 2×16891079042 = 5706171022710546432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1689107904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1082677 + ... + 1084235.

Almost surely, 21689107904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1689107904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876702400).

1689107904 is an abundant number, since it is smaller than the sum of its proper divisors (4064296896).

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

1689107904 is a wasteful number, since it uses less digits than its factorization.

1689107904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1594 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1689107904 is about 41098.7579374365. The cubic root of 1689107904 is about 1190.9288005708.

The spelling of 1689107904 in words is "one billion, six hundred eighty-nine million, one hundred seven thousand, nine hundred four".