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20897968 = 2471331463
BaseRepresentation
bin100111110111…
…0000010110000
31110022201121211
41033232002300
520322213333
62023525504
7342426010
oct117560260
943281554
1020897968
1110883a53
126bb9894
134439080
142abdc40
151c7becd
hex13ee0b0

20897968 has 80 divisors (see below), whose sum is σ = 51552256. Its totient is φ = 7983360.

The previous prime is 20897923. The next prime is 20897969. The reversal of 20897968 is 86979802.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20897969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44905 + ... + 45367.

Almost surely, 220897968 is an apocalyptic number.

20897968 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 20897968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25776128).

20897968 is an abundant number, since it is smaller than the sum of its proper divisors (30654288).

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

20897968 is a wasteful number, since it uses less digits than its factorization.

20897968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The square root of 20897968 is about 4571.4295357142. The cubic root of 20897968 is about 275.4448689259. Note that the first 3 decimals are identical.

The spelling of 20897968 in words is "twenty million, eight hundred ninety-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 248 364 403 434 463 496 728 806 868 926 1456 1612 1736 1852 2821 3224 3241 3472 3704 5642 6019 6448 6482 7408 11284 12038 12964 14353 22568 24076 25928 28706 42133 45136 48152 51856 57412 84266 96304 100471 114824 168532 186589 200942 229648 337064 373178 401884 674128 746356 803768 1306123 1492712 1607536 2612246 2985424 5224492 10448984 20897968