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20064688 = 247315779
BaseRepresentation
bin100110010001…
…0100110110000
31101202101120121
41030202212300
520114032223
61554020024
7332355430
oct114424660
941671517
1020064688
1110364996
126877614
1342069c7
1429442c0
151b6515d
hex13229b0

20064688 has 40 divisors (see below), whose sum is σ = 45870080. Its totient is φ = 8320320.

The previous prime is 20064677. The next prime is 20064697. The reversal of 20064688 is 88646002.

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, 583 + ... + 6361.

It is an arithmetic number, because the mean of its divisors is an integer number (1146752).

Almost surely, 220064688 is an apocalyptic number.

20064688 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 20064688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22935040).

20064688 is an abundant number, since it is smaller than the sum of its proper divisors (25805392).

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

20064688 is a wasteful number, since it uses less digits than its factorization.

20064688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5825 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 20064688 is about 4479.3624546357. The cubic root of 20064688 is about 271.7340971204.

The spelling of 20064688 in words is "twenty million, sixty-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 5779 11558 23116 40453 46232 80906 92464 161812 179149 323624 358298 647248 716596 1254043 1433192 2508086 2866384 5016172 10032344 20064688