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993140020 = 22549657001
BaseRepresentation
bin111011001100100…
…001110100110100
32120012202201222201
4323030201310310
54013220440040
6242314234244
733416356645
oct7314416464
92505681881
10993140020
1146a668884
12238725984
1312a9a7922
1495c836cc
155c2c8a9a
hex3b321d34

993140020 has 12 divisors (see below), whose sum is σ = 2085594084. Its totient is φ = 397256000.

The previous prime is 993139999. The next prime is 993140021. The reversal of 993140020 is 20041399.

It is a happy number.

993140020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 171400464 + 821739556 = 13092^2 + 28666^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (993140021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24828481 + ... + 24828520.

It is an arithmetic number, because the mean of its divisors is an integer number (173799507).

Almost surely, 2993140020 is an apocalyptic number.

It is an amenable number.

993140020 is an abundant number, since it is smaller than the sum of its proper divisors (1092454064).

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

993140020 is a wasteful number, since it uses less digits than its factorization.

993140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49657010 (or 49657008 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 993140020 is about 31514.1241350605. The cubic root of 993140020 is about 997.7080911669.

The spelling of 993140020 in words is "nine hundred ninety-three million, one hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 49657001 99314002 198628004 248285005 496570010 993140020