Search a number
-
+
20309670 = 23351937107
BaseRepresentation
bin100110101111…
…0011010100110
31102012211122000
41031132122212
520144402140
62003150130
7334425603
oct115363246
942184560
1020309670
1110511a57
126975346
134291374
1429a96aa
151bb2a30
hex135e6a6

20309670 has 128 divisors (see below), whose sum is σ = 59097600. Its totient is φ = 4945536.

The previous prime is 20309591. The next prime is 20309683. The reversal of 20309670 is 7690302.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 189757 + ... + 189863.

It is an arithmetic number, because the mean of its divisors is an integer number (461700).

Almost surely, 220309670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20309670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29548800).

20309670 is an abundant number, since it is smaller than the sum of its proper divisors (38787930).

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

20309670 is a wasteful number, since it uses less digits than its factorization.

20309670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 20309670 is about 4506.6251230827. The cubic root of 20309670 is about 272.8355488255.

Adding to 20309670 its reverse (7690302), we get a palindrome (27999972).

The spelling of 20309670 in words is "twenty million, three hundred nine thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 37 38 45 54 57 74 90 95 107 111 114 135 171 185 190 214 222 270 285 321 333 342 370 513 535 555 570 642 666 703 855 963 999 1026 1070 1110 1406 1605 1665 1710 1926 1998 2033 2109 2565 2889 3210 3330 3515 3959 4066 4218 4815 4995 5130 5778 6099 6327 7030 7918 9630 9990 10165 10545 11877 12198 12654 14445 18297 18981 19795 20330 21090 23754 28890 30495 31635 35631 36594 37962 39590 54891 59385 60990 63270 71262 75221 91485 94905 106893 109782 118770 150442 178155 182970 189810 213786 225663 274455 356310 376105 451326 534465 548910 676989 752210 1068930 1128315 1353978 2030967 2256630 3384945 4061934 6769890 10154835 20309670