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10020192 = 2537133137
BaseRepresentation
bin100110001110…
…010101100000
3200212002010020
4212032111200
510031121232
6554433440
7151112250
oct46162540
920762106
1010020192
115724356
123432880
1320cab10
14148b960
15d2de2c
hex98e560

10020192 has 192 divisors, whose sum is σ = 34320384. Its totient is φ = 2488320.

The previous prime is 10020187. The next prime is 10020193. The reversal of 10020192 is 29102001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020193) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270798 + ... + 270834.

It is an arithmetic number, because the mean of its divisors is an integer number (178752).

Almost surely, 210020192 is an apocalyptic number.

10020192 is a gapful number since it is divisible by the number (12) 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 10020192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17160192).

10020192 is an abundant number, since it is smaller than the sum of its proper divisors (24300192).

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

10020192 is a wasteful number, since it uses less digits than its factorization.

10020192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 10020192 is about 3165.4686856767. The cubic root of 10020192 is about 215.5883793301.

Adding to 10020192 its reverse (29102001), we get a palindrome (39122193).

The spelling of 10020192 in words is "ten million, twenty thousand, one hundred ninety-two".