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20953086 = 23721121931
BaseRepresentation
bin100111111101…
…1011111111110
31110102112020020
41033323133332
520330444321
62025033010
7343045500
oct117733776
943375206
1020953086
1110911400
127025766
13445819b
142ad5d70
151c8d4c6
hex13fb7fe

20953086 has 144 divisors (see below), whose sum is σ = 58222080. Its totient is φ = 4989600.

The previous prime is 20953081. The next prime is 20953087. The reversal of 20953086 is 68035902.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20953081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 675891 + ... + 675921.

It is an arithmetic number, because the mean of its divisors is an integer number (404320).

Almost surely, 220953086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20953086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29111040).

20953086 is an abundant number, since it is smaller than the sum of its proper divisors (37268994).

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

20953086 is a wasteful number, since it uses less digits than its factorization.

20953086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 20953086 is about 4577.4540958922. The cubic root of 20953086 is about 275.6868165708.

Adding to 20953086 its reverse (68035902), we get a palindrome (88988988).

The spelling of 20953086 in words is "twenty million, nine hundred fifty-three thousand, eighty-six".

Divisors: 1 2 3 6 7 11 14 19 21 22 31 33 38 42 49 57 62 66 77 93 98 114 121 133 147 154 186 209 217 231 242 266 294 341 363 399 418 434 462 539 589 627 651 682 726 798 847 931 1023 1078 1178 1254 1302 1463 1519 1617 1694 1767 1862 2046 2299 2387 2541 2793 2926 3038 3234 3534 3751 4123 4389 4557 4598 4774 5082 5586 5929 6479 6897 7161 7502 8246 8778 9114 10241 11253 11858 12369 12958 13794 14322 16093 16709 17787 19437 20482 22506 24738 26257 28861 30723 32186 33418 35574 38874 45353 48279 50127 52514 57722 61446 71269 78771 86583 90706 96558 100254 112651 136059 142538 157542 173166 183799 213807 225302 272118 317471 337953 367598 427614 498883 551397 634942 675906 952413 997766 1102794 1496649 1904826 2993298 3492181 6984362 10476543 20953086