Search a number
-
+
1693520192 = 267132937271
BaseRepresentation
bin110010011110001…
…0001000101000000
311101000122201222002
41210330101011000
511432020121232
6440014003132
756652453440
oct14474210500
94330581862
101693520192
11799a47871
123b31a64a8
1320cb1b070
14120cba120
159da23b62
hex64f11140

1693520192 has 224 divisors, whose sum is σ = 4410577920. Its totient is φ = 627056640.

The previous prime is 1693520177. The next prime is 1693520219. The reversal of 1693520192 is 2910253961.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 6249017 + ... + 6249287.

It is an arithmetic number, because the mean of its divisors is an integer number (19690080).

Almost surely, 21693520192 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 1693520192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205288960).

1693520192 is an abundant number, since it is smaller than the sum of its proper divisors (2717057728).

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

1693520192 is a wasteful number, since it uses less digits than its factorization.

1693520192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 1693520192 is about 41152.4020198092. The cubic root of 1693520192 is about 1191.9648804271.

The spelling of 1693520192 in words is "one billion, six hundred ninety-three million, five hundred twenty thousand, one hundred ninety-two".