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20002688 = 2731712
BaseRepresentation
bin100110001001…
…1011110000000
31101122020112022
41030103132000
520110041223
61552421012
7332006606
oct114233600
941566468
1020002688
1110322352
126847768
1341b4714
142929876
151b51ac8
hex1313780

20002688 has 48 divisors (see below), whose sum is σ = 41722080. Its totient is φ = 9542400.

The previous prime is 20002679. The next prime is 20002691. The reversal of 20002688 is 88620002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 281693 + ... + 281763.

It is an arithmetic number, because the mean of its divisors is an integer number (869210).

Almost surely, 220002688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20002688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20861040).

20002688 is an abundant number, since it is smaller than the sum of its proper divisors (21719392).

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

20002688 is an frugal number, since it uses more digits than its factorization.

20002688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 20002688 is about 4472.4364724387. The cubic root of 20002688 is about 271.4539217057.

The spelling of 20002688 in words is "twenty million, two thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 71 124 128 142 248 284 496 568 992 1136 1984 2201 2272 3968 4402 4544 5041 8804 9088 10082 17608 20164 35216 40328 70432 80656 140864 156271 161312 281728 312542 322624 625084 645248 1250168 2500336 5000672 10001344 20002688