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20425636 = 22711174783
BaseRepresentation
bin100110111101…
…0101110100100
31102102201201001
41031322232210
520212110021
62005443044
7335420650
oct115725644
942381631
1020425636
11105910a0
126a10484
13430209a
1429d9a60
151bd7091
hex137aba4

20425636 has 96 divisors (see below), whose sum is σ = 48771072. Its totient is φ = 7242240.

The previous prime is 20425607. The next prime is 20425637. The reversal of 20425636 is 63652402.

It is a happy number.

20425636 is a nontrivial binomial coefficient, being equal to C(6392, 2).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (20425637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246051 + ... + 246133.

It is an arithmetic number, because the mean of its divisors is an integer number (508032).

Almost surely, 220425636 is an apocalyptic number.

20425636 is the 6391-st triangular number and also the 3196-th hexagonal number.

20425636 is the 2131-st centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20425636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24385536).

20425636 is an abundant number, since it is smaller than the sum of its proper divisors (28345436).

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

20425636 is a wasteful number, since it uses less digits than its factorization.

20425636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 20425636 is about 4519.4729781248. The cubic root of 20425636 is about 273.3538506642.

The spelling of 20425636 in words is "twenty million, four hundred twenty-five thousand, six hundred thirty-six".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 47 68 77 83 94 119 154 166 187 188 238 308 329 332 374 476 517 581 658 748 799 913 1034 1162 1309 1316 1411 1598 1826 2068 2324 2618 2822 3196 3619 3652 3901 5236 5593 5644 6391 7238 7802 8789 9877 11186 12782 14476 15521 15604 17578 19754 22372 25564 27307 31042 35156 39508 42911 54614 61523 62084 66317 85822 108647 109228 123046 132634 171644 217294 246092 265268 300377 434588 464219 600754 729487 928438 1201508 1458974 1856876 2917948 5106409 10212818 20425636