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140580992 = 2710310663
BaseRepresentation
bin10000110000100…
…01100010000000
3100210112020212102
420120101202000
5241442042432
621541045532
73324630056
oct1030214200
9323466772
10140580992
1172399642
123b0b68a8
1323181926
14149561d6
15c51d962
hex8611880

140580992 has 32 divisors (see below), whose sum is σ = 282809280. Its totient is φ = 69601536.

The previous prime is 140580989. The next prime is 140580997. The reversal of 140580992 is 299085041.

140580992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (140580997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7853 + ... + 18515.

It is an arithmetic number, because the mean of its divisors is an integer number (8837790).

Almost surely, 2140580992 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 140580992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141404640).

140580992 is an abundant number, since it is smaller than the sum of its proper divisors (142228288).

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

140580992 is a wasteful number, since it uses less digits than its factorization.

140580992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10780 (or 10768 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 38.

The square root of 140580992 is about 11856.6855402343. The cubic root of 140580992 is about 519.9667039825.

The spelling of 140580992 in words is "one hundred forty million, five hundred eighty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 64 103 128 206 412 824 1648 3296 6592 10663 13184 21326 42652 85304 170608 341216 682432 1098289 1364864 2196578 4393156 8786312 17572624 35145248 70290496 140580992