Search a number
-
+
20910864 = 24313233147
BaseRepresentation
bin100111111000…
…1001100010000
31110100101022110
41033301030100
520323121424
62024105320
7342511422
oct117611420
943311273
1020910864
1110892707
127005240
134441bc0
142ac4812
151c80c29
hex13f1310

20910864 has 160 divisors (see below), whose sum is σ = 63995904. Its totient is φ = 5829120.

The previous prime is 20910863. The next prime is 20910881. The reversal of 20910864 is 46801902.

It is not an unprimeable number, because it can be changed into a prime (20910863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 444889 + ... + 444935.

Almost surely, 220910864 is an apocalyptic number.

20910864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20910864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31997952).

20910864 is an abundant number, since it is smaller than the sum of its proper divisors (43085040).

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

20910864 is a wasteful number, since it uses less digits than its factorization.

20910864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 20910864 is about 4572.8398178812. The cubic root of 20910864 is about 275.5015156872.

The spelling of 20910864 in words is "twenty million, nine hundred ten thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 31 39 46 47 48 52 62 69 78 92 93 94 104 124 138 141 156 184 186 188 208 248 276 282 299 312 368 372 376 403 496 552 564 598 611 624 713 744 752 806 897 1081 1104 1128 1196 1209 1222 1426 1457 1488 1612 1794 1833 2139 2162 2256 2392 2418 2444 2852 2914 3224 3243 3588 3666 4278 4324 4371 4784 4836 4888 5704 5828 6448 6486 7176 7332 8556 8648 8742 9269 9672 9776 11408 11656 12972 14053 14352 14664 17112 17296 17484 18538 18941 19344 23312 25944 27807 28106 29328 33511 34224 34968 37076 37882 42159 51888 55614 56212 56823 67022 69936 74152 75764 84318 100533 111228 112424 113646 134044 148304 151528 168636 201066 222456 224848 227292 268088 303056 337272 402132 435643 444912 454584 536176 674544 804264 871286 909168 1306929 1608528 1742572 2613858 3485144 5227716 6970288 10455432 20910864