Search a number
-
+
20796776 = 2373111353
BaseRepresentation
bin100111101010…
…1010101101000
31110010120210222
41033111111220
520310444101
62021425212
7341525000
oct117252550
943116728
1020796776
1110814a20
126b6b208
134401cb0
142a95000
151c5c01b
hex13d5568

20796776 has 128 divisors (see below), whose sum is σ = 54432000. Its totient is φ = 7338240.

The previous prime is 20796739. The next prime is 20796779. The reversal of 20796776 is 67769702.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (20796779) 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 31 ways as a sum of consecutive naturals, for example, 392366 + ... + 392418.

It is an arithmetic number, because the mean of its divisors is an integer number (425250).

Almost surely, 220796776 is an apocalyptic number.

20796776 is a gapful number since it is divisible by the number (26) 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 20796776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216000).

20796776 is an abundant number, since it is smaller than the sum of its proper divisors (33635224).

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

20796776 is a wasteful number, since it uses less digits than its factorization.

20796776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 44.

The square root of 20796776 is about 4560.3482323174. The cubic root of 20796776 is about 274.9995636357. Note that the first 3 decimals are identical.

The spelling of 20796776 in words is "twenty million, seven hundred ninety-six thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 49 52 53 56 77 88 91 98 104 106 143 154 182 196 212 286 308 343 364 371 392 424 539 572 583 616 637 686 689 728 742 1001 1078 1144 1166 1274 1372 1378 1484 2002 2156 2332 2548 2597 2744 2756 2968 3773 4004 4081 4312 4459 4664 4823 5096 5194 5512 7007 7546 7579 8008 8162 8918 9646 10388 14014 15092 15158 16324 17836 18179 19292 20776 28028 28567 30184 30316 32648 33761 35672 36358 38584 49049 53053 56056 57134 60632 67522 72716 98098 106106 114268 135044 145432 196196 199969 212212 228536 236327 270088 371371 392392 399938 424424 472654 742742 799876 945308 1485484 1599752 1890616 2599597 2970968 5199194 10398388 20796776