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20319936 = 2637131163
BaseRepresentation
bin100110110000…
…0111011000000
31102020100201020
41031200323000
520200214221
62003305440
7334500540
oct115407300
942210636
1020319936
111051973a
12697b280
134295c40
1429ad320
151bb5ac6
hex1360ec0

20319936 has 112 divisors (see below), whose sum is σ = 66226944. Its totient is φ = 5354496.

The previous prime is 20319931. The next prime is 20319989. The reversal of 20319936 is 63991302.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 20319897 and 20319906.

It is not an unprimeable number, because it can be changed into a prime (20319931) 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, 16891 + ... + 18053.

It is an arithmetic number, because the mean of its divisors is an integer number (591312).

Almost surely, 220319936 is an apocalyptic number.

20319936 is a gapful number since it is divisible by the number (26) 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 20319936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33113472).

20319936 is an abundant number, since it is smaller than the sum of its proper divisors (45907008).

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

20319936 is a wasteful number, since it uses less digits than its factorization.

20319936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 20319936 is about 4507.7639689762. The cubic root of 20319936 is about 272.8815114621.

The spelling of 20319936 in words is "twenty million, three hundred nineteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1163 1248 1344 1456 2184 2326 2496 2912 3489 4368 4652 5824 6978 8141 8736 9304 13956 15119 16282 17472 18608 24423 27912 30238 32564 37216 45357 48846 55824 60476 65128 74432 90714 97692 105833 111648 120952 130256 181428 195384 211666 223296 241904 260512 317499 362856 390768 423332 483808 521024 634998 725712 781536 846664 967616 1269996 1451424 1563072 1693328 2539992 2902848 3386656 5079984 6773312 10159968 20319936