[go: up one dir, main page]

Search a number
-
+
13321140 = 22357223197
BaseRepresentation
bin110010110100…
…001110110100
3221001210011120
4302310032310
511402234030
61153303540
7221141100
oct62641664
927053146
1013321140
117579408
124564bb0
1329b5441
141aaa900
151282010
hexcb43b4

13321140 has 144 divisors (see below), whose sum is σ = 45505152. Its totient is φ = 2897664.

The previous prime is 13321129. The next prime is 13321151. The reversal of 13321140 is 4112331.

13321140 is digitally balanced in base 2, because in such base 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 (13321129) and next prime (13321151).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67522 + ... + 67718.

It is an arithmetic number, because the mean of its divisors is an integer number (316008).

Almost surely, 213321140 is an apocalyptic number.

13321140 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 13321140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22752576).

13321140 is an abundant number, since it is smaller than the sum of its proper divisors (32184012).

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

13321140 is a wasteful number, since it uses less digits than its factorization.

13321140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13321140 is about 3649.8136938753. The cubic root of 13321140 is about 237.0539142774.

Adding to 13321140 its reverse (4112331), we get a palindrome (17433471).

The spelling of 13321140 in words is "thirteen million, three hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 23 28 30 35 42 46 49 60 69 70 84 92 98 105 115 138 140 147 161 196 197 210 230 245 276 294 322 345 394 420 460 483 490 588 591 644 690 735 788 805 966 980 985 1127 1182 1379 1380 1470 1610 1932 1970 2254 2364 2415 2758 2940 2955 3220 3381 3940 4137 4508 4531 4830 5516 5635 5910 6762 6895 8274 9062 9653 9660 11270 11820 13524 13593 13790 16548 16905 18124 19306 20685 22540 22655 27186 27580 28959 31717 33810 38612 41370 45310 48265 54372 57918 63434 67620 67965 82740 90620 95151 96530 115836 126868 135930 144795 158585 190302 193060 222019 271860 289590 317170 380604 444038 475755 579180 634340 666057 888076 951510 1110095 1332114 1903020 2220190 2664228 3330285 4440380 6660570 13321140