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20561688 = 233571511
BaseRepresentation
bin100111001101…
…1111100011000
31102200122100000
41032123330120
520230433223
62012413000
7336525420
oct116337430
942618300
1020561688
1110674334
126a77160
13434bca4
142a33480
151c12543
hex139bf18

20561688 has 96 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 5870880.

The previous prime is 20561683. The next prime is 20561689. The reversal of 20561688 is 88616502.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20561683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12853 + ... + 14363.

It is an arithmetic number, because the mean of its divisors is an integer number (687960).

Almost surely, 220561688 is an apocalyptic number.

20561688 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 20561688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

20561688 is an abundant number, since it is smaller than the sum of its proper divisors (45482472).

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

20561688 is a wasteful number, since it uses less digits than its factorization.

20561688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 20561688 is about 4534.4997519021. The cubic root of 20561688 is about 273.9594306532.

The spelling of 20561688 in words is "twenty million, five hundred sixty-one thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1511 1512 1701 1944 2268 3022 3402 4533 4536 6044 6804 9066 10577 12088 13599 13608 18132 21154 27198 31731 36264 40797 42308 54396 63462 81594 84616 95193 108792 122391 126924 163188 190386 244782 253848 285579 326376 367173 380772 489564 571158 734346 761544 856737 979128 1142316 1468692 1713474 2284632 2570211 2937384 3426948 5140422 6853896 10280844 20561688