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20836920 = 23351319237
BaseRepresentation
bin100111101111…
…1001000111000
31110012121212210
41033133020320
520313240140
62022335120
7342053016
oct117371070
943177783
1020836920
11108420a5
126b8a4a0
134417350
142aa58b6
151c68d80
hex13df238

20836920 has 192 divisors, whose sum is σ = 72969120. Its totient is φ = 4727808.

The previous prime is 20836909. The next prime is 20836927. The reversal of 20836920 is 2963802.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20836927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 563142 + ... + 563178.

Almost surely, 220836920 is an apocalyptic number.

20836920 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 20836920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36484560).

20836920 is an abundant number, since it is smaller than the sum of its proper divisors (52132200).

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

20836920 is a wasteful number, since it uses less digits than its factorization.

20836920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 20836920 is about 4564.7475286154. The cubic root of 20836920 is about 275.1763937183.

It can be divided in two parts, 208 and 36920, that added together give a triangular number (37128 = T272).

The spelling of 20836920 in words is "twenty million, eight hundred thirty-six thousand, nine hundred twenty".