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20109870 = 2345113761
BaseRepresentation
bin100110010110…
…1101000101110
31101211200120000
41030231220232
520122003440
61555005130
7332634234
oct114555056
941750500
1020109870
1110395930
1268997a6
134221441
142956954
151b73730
hex132da2e

20109870 has 160 divisors (see below), whose sum is σ = 61576416. Its totient is φ = 4665600.

The previous prime is 20109863. The next prime is 20109871. The reversal of 20109870 is 7890102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20109871) 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 79 ways as a sum of consecutive naturals, for example, 329640 + ... + 329700.

Almost surely, 220109870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20109870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30788208).

20109870 is an abundant number, since it is smaller than the sum of its proper divisors (41466546).

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

20109870 is a wasteful number, since it uses less digits than its factorization.

20109870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 20109870 is about 4484.4029702960. The cubic root of 20109870 is about 271.9379093424.

20109870 divided by its sum of digits (27) gives a triangular number (744810 = T1220).

Adding to 20109870 its reverse (7890102), we get a palindrome (27999972).

The spelling of 20109870 in words is "twenty million, one hundred nine thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 37 45 54 55 61 66 74 81 90 99 110 111 122 135 162 165 183 185 198 222 270 297 305 330 333 366 370 405 407 495 549 555 594 610 666 671 810 814 891 915 990 999 1098 1110 1221 1342 1485 1647 1665 1782 1830 1998 2013 2035 2257 2442 2745 2970 2997 3294 3330 3355 3663 4026 4070 4455 4514 4941 4995 5490 5994 6039 6105 6710 6771 7326 8235 8910 9882 9990 10065 10989 11285 12078 12210 13542 14985 16470 18117 18315 20130 20313 21978 22570 24705 24827 29970 30195 32967 33855 36234 36630 40626 49410 49654 54351 54945 60390 60939 65934 67710 74481 90585 101565 108702 109890 121878 124135 148962 164835 181170 182817 203130 223443 248270 271755 304695 329670 365634 372405 446886 543510 609390 670329 744810 914085 1117215 1340658 1828170 2010987 2234430 3351645 4021974 6703290 10054935 20109870