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683139072 = 2133711192
BaseRepresentation
bin101000101101111…
…110000000000000
31202121110001122010
4220231332000000
52344340422242
6151442012520
722633405050
oct5055760000
91677401563
10683139072
11320683550
12170947140
13ab6b7a05
1466a29560
153ee9189c
hex28b7e000

683139072 has 336 divisors, whose sum is σ = 2396898432. Its totient is φ = 168099840.

The previous prime is 683139071. The next prime is 683139073. The reversal of 683139072 is 270931386.

It is an interprime number because it is at equal distance from previous prime (683139071) and next prime (683139073).

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 683139072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683139071) by changing a digit.

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, 35954679 + ... + 35954697.

Almost surely, 2683139072 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 683139072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198449216).

683139072 is an abundant number, since it is smaller than the sum of its proper divisors (1713759360).

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

683139072 is a wasteful number, since it uses less digits than its factorization.

683139072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 683139072 is about 26136.9292764089. The cubic root of 683139072 is about 880.7169914209.

The spelling of 683139072 in words is "six hundred eighty-three million, one hundred thirty-nine thousand, seventy-two".