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20364696 = 2334112857
BaseRepresentation
bin100110110101…
…1110110011000
31102022122010000
41031223312120
520203132241
62004253000
7335045202
oct115536630
942278100
1020364696
111054a330
1269a1160
1342b0421
1429c1772
151bc3eb6
hex136bd98

20364696 has 80 divisors (see below), whose sum is σ = 62247240. Its totient is φ = 6168960.

The previous prime is 20364661. The next prime is 20364697. The reversal of 20364696 is 69646302.

20364696 is a `hidden beast` number, since 2 + 0 + 3 + 646 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20364696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20364697) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5700 + ... + 8556.

Almost surely, 220364696 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 20364696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31123620).

20364696 is an abundant number, since it is smaller than the sum of its proper divisors (41882544).

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

20364696 is a wasteful number, since it uses less digits than its factorization.

20364696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2873 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 20364696 is about 4512.7260054207. The cubic root of 20364696 is about 273.0817289415.

The spelling of 20364696 in words is "twenty million, three hundred sixty-four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1782 2376 2857 3564 5714 7128 8571 11428 17142 22856 25713 31427 34284 51426 62854 68568 77139 94281 102852 125708 154278 188562 205704 231417 251416 282843 308556 377124 462834 565686 617112 754248 848529 925668 1131372 1697058 1851336 2262744 2545587 3394116 5091174 6788232 10182348 20364696