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20136960 = 2103251923
BaseRepresentation
bin100110011010…
…0010000000000
31101220001201100
41030310100000
520123340320
61555334400
7333106224
oct114642000
941801640
1020136960
1110404218
1268b1400
13423087c
142962784
151b7b790
hex1334400

20136960 has 264 divisors, whose sum is σ = 76639680. Its totient is φ = 4866048.

The previous prime is 20136953. The next prime is 20136967. The reversal of 20136960 is 6963102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20136953) and next prime (20136967).

It is not an unprimeable number, because it can be changed into a prime (20136967) 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 23 ways as a sum of consecutive naturals, for example, 875509 + ... + 875531.

Almost surely, 220136960 is an apocalyptic number.

20136960 is a gapful number since it is divisible by the number (20) 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 20136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38319840).

20136960 is an abundant number, since it is smaller than the sum of its proper divisors (56502720).

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

20136960 is a wasteful number, since it uses less digits than its factorization.

20136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 20136960 is about 4487.4224227278. The cubic root of 20136960 is about 272.0599637117.

The spelling of 20136960 in words is "twenty million, one hundred thirty-six thousand, nine hundred sixty".