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20008688 = 247227787
BaseRepresentation
bin100110001010…
…0111011110000
31101122112202112
41030110323300
520110234223
61552504452
7332033240
oct114247360
941575675
1020008688
1110326907
12684b128
1341b737b
14292bb20
151b53778
hex1314ef0

20008688 has 40 divisors (see below), whose sum is σ = 44556672. Its totient is φ = 8526528.

The previous prime is 20008669. The next prime is 20008721. The reversal of 20008688 is 88680002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25031 + ... + 25817.

Almost surely, 220008688 is an apocalyptic number.

20008688 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 20008688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22278336).

20008688 is an abundant number, since it is smaller than the sum of its proper divisors (24547984).

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

20008688 is a wasteful number, since it uses less digits than its factorization.

20008688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 20008688 is about 4473.1071974635. The cubic root of 20008688 is about 271.4810607366.

The spelling of 20008688 in words is "twenty million, eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 227 454 787 908 1574 1589 1816 3148 3178 3632 5509 6296 6356 11018 12592 12712 22036 25424 44072 88144 178649 357298 714596 1250543 1429192 2501086 2858384 5002172 10004344 20008688