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20971808 = 2511134583
BaseRepresentation
bin101000000000…
…0000100100000
31110110110220122
41100000010200
520332044213
62025255412
7343154204
oct120000440
943413818
1020971808
1110924480
127034568
134463870
142adcb04
151c93d08
hex1400120

20971808 has 48 divisors (see below), whose sum is σ = 48517056. Its totient is φ = 8797440.

The previous prime is 20971807. The next prime is 20971889. The reversal of 20971808 is 80817902.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20971807) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2285 + ... + 6867.

It is an arithmetic number, because the mean of its divisors is an integer number (1010772).

Almost surely, 220971808 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 20971808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24258528).

20971808 is an abundant number, since it is smaller than the sum of its proper divisors (27545248).

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

20971808 is a wasteful number, since it uses less digits than its factorization.

20971808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4617 (or 4609 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 35.

The square root of 20971808 is about 4579.4986625175. The cubic root of 20971808 is about 275.7689026824.

The spelling of 20971808 in words is "twenty million, nine hundred seventy-one thousand, eight hundred eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 4583 9166 18332 36664 50413 59579 73328 100826 119158 146656 201652 238316 403304 476632 655369 806608 953264 1310738 1613216 1906528 2621476 5242952 10485904 20971808