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20945808 = 24321367167
BaseRepresentation
bin100111111100…
…1101110010000
31110102011020200
41033321232100
520330231213
62024535200
7343015332
oct117715620
943364220
1020945808
1110906994
127021500
134454a90
142ad3452
151c8b273
hex13f9b90

20945808 has 120 divisors (see below), whose sum is σ = 64454208. Its totient is φ = 6310656.

The previous prime is 20945807. The next prime is 20945833. The reversal of 20945808 is 80854902.

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

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

It is not an unprimeable number, because it can be changed into a prime (20945803) 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, 125341 + ... + 125507.

Almost surely, 220945808 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 20945808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32227104).

20945808 is an abundant number, since it is smaller than the sum of its proper divisors (43508400).

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

20945808 is a wasteful number, since it uses less digits than its factorization.

20945808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

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

The square root of 20945808 is about 4576.6590434508. The cubic root of 20945808 is about 275.6548931744.

The spelling of 20945808 in words is "twenty million, nine hundred forty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 67 72 78 104 117 134 144 156 167 201 208 234 268 312 334 402 468 501 536 603 624 668 804 871 936 1002 1072 1206 1336 1503 1608 1742 1872 2004 2171 2412 2613 2672 3006 3216 3484 4008 4342 4824 5226 6012 6513 6968 7839 8016 8684 9648 10452 11189 12024 13026 13936 15678 17368 19539 20904 22378 24048 26052 31356 33567 34736 39078 41808 44756 52104 62712 67134 78156 89512 100701 104208 125424 134268 145457 156312 179024 201402 268536 290914 312624 402804 436371 537072 581828 805608 872742 1163656 1309113 1611216 1745484 2327312 2618226 3490968 5236452 6981936 10472904 20945808