Search a number
-
+
12092712 = 23317107277
BaseRepresentation
bin101110001000…
…010100101000
3211202101002020
4232020110220
511043431322
61111104440
7204533502
oct56102450
924671066
1012092712
11690a485
124072120
132675268
14186ad72
1510dd05c
hexb88528

12092712 has 64 divisors (see below), whose sum is σ = 32425920. Its totient is φ = 3744768.

The previous prime is 12092693. The next prime is 12092723. The reversal of 12092712 is 21729021.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43518 + ... + 43794.

It is an arithmetic number, because the mean of its divisors is an integer number (506655).

Almost surely, 212092712 is an apocalyptic number.

12092712 is a gapful number since it is divisible by the number (12) 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 12092712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16212960).

12092712 is an abundant number, since it is smaller than the sum of its proper divisors (20333208).

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

12092712 is a wasteful number, since it uses less digits than its factorization.

12092712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 12092712 is about 3477.4576920503. The cubic root of 12092712 is about 229.5309407167.

The spelling of 12092712 in words is "twelve million, ninety-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 107 136 204 214 277 321 408 428 554 642 831 856 1108 1284 1662 1819 2216 2568 3324 3638 4709 5457 6648 7276 9418 10914 14127 14552 18836 21828 28254 29639 37672 43656 56508 59278 88917 113016 118556 177834 237112 355668 503863 711336 1007726 1511589 2015452 3023178 4030904 6046356 12092712