Search a number
-
+
673089984 = 26327971721
BaseRepresentation
bin101000000111101…
…000100111000000
31201220112111212200
4220013220213000
52334302334414
6150442353200
722452112320
oct5007504700
91656474780
10673089984
11315a3a516
121694bb800
13a95a99c8
1465571280
153e159109
hex281e89c0

673089984 has 168 divisors, whose sum is σ = 2228929248. Its totient is φ = 190218240.

The previous prime is 673089979. The next prime is 673089997. The reversal of 673089984 is 489980376.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×6730899842 = 906100253122240512, 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 673089984.

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, 390244 + ... + 391964.

It is an arithmetic number, because the mean of its divisors is an integer number (13267436).

Almost surely, 2673089984 is an apocalyptic number.

673089984 is a gapful number since it is divisible by the number (64) 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 673089984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114464624).

673089984 is an abundant number, since it is smaller than the sum of its proper divisors (1555839264).

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

673089984 is a wasteful number, since it uses less digits than its factorization.

673089984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 673089984 is about 25943.9777983254. The cubic root of 673089984 is about 876.3771441665.

The spelling of 673089984 in words is "six hundred seventy-three million, eighty-nine thousand, nine hundred eighty-four".