Search a number
-
+
12207936 = 263136773
BaseRepresentation
bin101110100100…
…011101000000
3211222020010210
4232210131000
511111123221
61113354120
7205523436
oct56443500
924866123
1012207936
116989004
124108940
1326b5840
14189ad56
151112276
hexba4740

12207936 has 112 divisors (see below), whose sum is σ = 35787584. Its totient is φ = 3649536.

The previous prime is 12207931. The next prime is 12207941. The reversal of 12207936 is 63970221.

It is an interprime number because it is at equal distance from previous prime (12207931) and next prime (12207941).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12207931) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167196 + ... + 167268.

It is an arithmetic number, because the mean of its divisors is an integer number (319532).

Almost surely, 212207936 is an apocalyptic number.

12207936 is a gapful number since it is divisible by the number (16) 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 12207936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17893792).

12207936 is an abundant number, since it is smaller than the sum of its proper divisors (23579648).

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

12207936 is a wasteful number, since it uses less digits than its factorization.

12207936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 12207936 is about 3493.9856897246. The cubic root of 12207936 is about 230.2576570621.

The spelling of 12207936 in words is "twelve million, two hundred seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 67 73 78 96 104 134 146 156 192 201 208 219 268 292 312 402 416 438 536 584 624 804 832 871 876 949 1072 1168 1248 1608 1742 1752 1898 2144 2336 2496 2613 2847 3216 3484 3504 3796 4288 4672 4891 5226 5694 6432 6968 7008 7592 9782 10452 11388 12864 13936 14016 14673 15184 19564 20904 22776 27872 29346 30368 39128 41808 45552 55744 58692 60736 63583 78256 83616 91104 117384 127166 156512 167232 182208 190749 234768 254332 313024 381498 469536 508664 762996 939072 1017328 1525992 2034656 3051984 4069312 6103968 12207936