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20934936 = 233511289
BaseRepresentation
bin100111111011…
…1000100011000
31110101121100000
41033313010120
520324404221
62024413000
7342641541
oct117670430
943347300
1020934936
11108a9800
127017160
13444cb49
142acd4c8
151c87e26
hex13f7118

20934936 has 144 divisors (see below), whose sum is σ = 65356200. Its totient is φ = 6272640.

The previous prime is 20934931. The next prime is 20934943. The reversal of 20934936 is 63943902.

It is a happy number.

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 20934936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20934931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 235180 + ... + 235268.

Almost surely, 220934936 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 20934936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32678100).

20934936 is an abundant number, since it is smaller than the sum of its proper divisors (44421264).

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

20934936 is a wasteful number, since it uses less digits than its factorization.

20934936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 20934936 is about 4575.4711232834. The cubic root of 20934936 is about 275.6071916857.

The spelling of 20934936 in words is "twenty million, nine hundred thirty-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 89 99 108 121 132 162 178 198 216 242 243 264 267 297 324 356 363 396 484 486 534 594 648 712 726 792 801 891 968 972 979 1068 1089 1188 1452 1602 1782 1944 1958 2136 2178 2376 2403 2673 2904 2937 3204 3267 3564 3916 4356 4806 5346 5874 6408 6534 7128 7209 7832 8712 8811 9612 9801 10692 10769 11748 13068 14418 17622 19224 19602 21384 21538 21627 23496 26136 26433 28836 29403 32307 35244 39204 43076 43254 52866 57672 58806 64614 70488 78408 79299 86152 86508 96921 105732 117612 129228 158598 173016 193842 211464 235224 237897 258456 290763 317196 387684 475794 581526 634392 775368 872289 951588 1163052 1744578 1903176 2326104 2616867 3489156 5233734 6978312 10467468 20934936