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20801088 = 2632721167
BaseRepresentation
bin100111101011…
…0011001000000
31110010210201200
41033112121000
520311113323
62021501200
7341543400
oct117263100
943123650
1020801088
1110818190
126b71800
134403c49
142a96800
151c5d443
hex13d6640

20801088 has 252 divisors, whose sum is σ = 76791312. Its totient is φ = 5322240.

The previous prime is 20801071. The next prime is 20801089. The reversal of 20801088 is 88010802.

It is a tau number, because it is divible by the number of its divisors (252).

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 not an unprimeable number, because it can be changed into a prime (20801089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 310431 + ... + 310497.

Almost surely, 220801088 is an apocalyptic number.

20801088 is a gapful number since it is divisible by the number (28) 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 20801088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38395656).

20801088 is an abundant number, since it is smaller than the sum of its proper divisors (55990224).

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

20801088 is a wasteful number, since it uses less digits than its factorization.

20801088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 20801088 is about 4560.8209787274. The cubic root of 20801088 is about 275.0185684432.

It can be divided in two parts, 20 and 801088, that added together give a palindrome (801108).

The spelling of 20801088 in words is "twenty million, eight hundred one thousand, eighty-eight".