[go: up one dir, main page]

Search a number
-
+
12806508 = 223111317439
BaseRepresentation
bin110000110110…
…100101101100
3220002122020010
4300312211230
511234302013
61134253220
7213565521
oct60664554
926078203
1012806508
1172577a0
124357210
132865120
1419b5148
1511ce7c3
hexc3696c

12806508 has 96 divisors (see below), whose sum is σ = 37255680. Its totient is φ = 3363840.

The previous prime is 12806489. The next prime is 12806527. The reversal of 12806508 is 80560821.

12806508 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12806489) and next prime (12806527).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28953 + ... + 29391.

It is an arithmetic number, because the mean of its divisors is an integer number (388080).

Almost surely, 212806508 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12806508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18627840).

12806508 is an abundant number, since it is smaller than the sum of its proper divisors (24449172).

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

12806508 is a wasteful number, since it uses less digits than its factorization.

12806508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 12806508 is about 3578.6181690703. The cubic root of 12806508 is about 233.9610571471.

The spelling of 12806508 in words is "twelve million, eight hundred six thousand, five hundred eight".

Divisors: 1 2 3 4 6 11 12 13 17 22 26 33 34 39 44 51 52 66 68 78 102 132 143 156 187 204 221 286 374 429 439 442 561 572 663 748 858 878 884 1122 1317 1326 1716 1756 2244 2431 2634 2652 4829 4862 5268 5707 7293 7463 9658 9724 11414 14487 14586 14926 17121 19316 22389 22828 28974 29172 29852 34242 44778 57948 62777 68484 82093 89556 97019 125554 164186 188331 194038 246279 251108 291057 328372 376662 388076 492558 582114 753324 985116 1067209 1164228 2134418 3201627 4268836 6403254 12806508