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20108088 = 23347111331
BaseRepresentation
bin100110010110…
…1001100111000
31101211121010000
41030231030320
520121424323
61554553000
7332626110
oct114551470
941747100
1020108088
1110394560
126898760
1342206a0
142956040
151b72e43
hex132d338

20108088 has 320 divisors, whose sum is σ = 78059520. Its totient is φ = 4665600.

The previous prime is 20108083. The next prime is 20108111. The reversal of 20108088 is 88080102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20108083) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 648633 + ... + 648663.

It is an arithmetic number, because the mean of its divisors is an integer number (243936).

Almost surely, 220108088 is an apocalyptic number.

20108088 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 20108088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39029760).

20108088 is an abundant number, since it is smaller than the sum of its proper divisors (57951432).

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

20108088 is a wasteful number, since it uses less digits than its factorization.

20108088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 67 counting only the distinct ones).

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

The square root of 20108088 is about 4484.2042772380. The cubic root of 20108088 is about 271.9298766753.

The spelling of 20108088 in words is "twenty million, one hundred eight thousand, eighty-eight".