Search a number
-
+
12322740 = 2235593
BaseRepresentation
bin101111000000…
…011110110100
3212012001121210
4233000132310
511123311430
61120041420
7206512233
oct57003664
925161553
1012322740
116a57291
124163270
132725b81
1418cab1a
1511362b0
hexbc07b4

12322740 has 48 divisors (see below), whose sum is σ = 35098560. Its totient is φ = 3230368.

The previous prime is 12322711. The next prime is 12322771. The reversal of 12322740 is 4722321.

12322740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123227402 = 303699842215200, which contains 22 as substring.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 295 × 177 × 236.

It is a congruent number.

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, 208831 + ... + 208889.

It is an arithmetic number, because the mean of its divisors is an integer number (731220).

Almost surely, 212322740 is an apocalyptic number.

12322740 is a gapful number since it is divisible by the number (10) 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 12322740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17549280).

12322740 is an abundant number, since it is smaller than the sum of its proper divisors (22775820).

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

12322740 is an frugal number, since it uses more digits than its factorization.

12322740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 12322740 is about 3510.3760482319. The cubic root of 12322740 is about 230.9771908290.

The spelling of 12322740 in words is "twelve million, three hundred twenty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3481 3540 6962 10443 13924 17405 20886 34810 41772 52215 69620 104430 205379 208860 410758 616137 821516 1026895 1232274 2053790 2464548 3080685 4107580 6161370 12322740