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20071296 = 2732719131
BaseRepresentation
bin100110010010…
…0001110000000
31101202201122100
41030210032000
520114240141
61554110400
7332413620
oct114441600
941681570
1020071296
1110369953
12687b400
134209a0b
142946880
151b670b6
hex1324380

20071296 has 192 divisors, whose sum is σ = 70012800. Its totient is φ = 5391360.

The previous prime is 20071273. The next prime is 20071297. The reversal of 20071296 is 69217002.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20071297) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153151 + ... + 153281.

It is an arithmetic number, because the mean of its divisors is an integer number (364650).

Almost surely, 220071296 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 20071296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35006400).

20071296 is an abundant number, since it is smaller than the sum of its proper divisors (49941504).

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

20071296 is a wasteful number, since it uses less digits than its factorization.

20071296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 20071296 is about 4480.0999988840. The cubic root of 20071296 is about 271.7639243444.

Adding to 20071296 its reverse (69217002), we get a palindrome (89288298).

The spelling of 20071296 in words is "twenty million, seventy-one thousand, two hundred ninety-six".