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20122080 = 25351137103
BaseRepresentation
bin100110011000…
…0100111100000
31101212022022020
41030300213200
520122401310
61555141440
7333014646
oct114604740
941768266
1020122080
11103a4020
1268a4880
134226b74
14295b196
151b77170
hex13309e0

20122080 has 192 divisors, whose sum is σ = 71705088. Its totient is φ = 4700160.

The previous prime is 20122061. The next prime is 20122087. The reversal of 20122080 is 8022102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122087) 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, 195309 + ... + 195411.

It is an arithmetic number, because the mean of its divisors is an integer number (373464).

Almost surely, 220122080 is an apocalyptic number.

20122080 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 20122080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35852544).

20122080 is an abundant number, since it is smaller than the sum of its proper divisors (51583008).

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

20122080 is a wasteful number, since it uses less digits than its factorization.

20122080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 20122080 is about 4485.7641489494. The cubic root of 20122080 is about 271.9929352260.

Adding to 20122080 its reverse (8022102), we get a palindrome (28144182).

The spelling of 20122080 in words is "twenty million, one hundred twenty-two thousand, eighty".