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13312140 = 22351271747
BaseRepresentation
bin110010110010…
…000010001100
3221001022211020
4302302002030
511401442030
61153154140
7221102622
oct62620214
927038736
1013312140
117572676
12455b950
1329b130a
141aa7512
15127e510
hexcb208c

13312140 has 48 divisors (see below), whose sum is σ = 37588992. Its totient is φ = 3519936.

The previous prime is 13312133. The next prime is 13312151. The reversal of 13312140 is 4121331.

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

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, 6747 + ... + 8493.

It is an arithmetic number, because the mean of its divisors is an integer number (783104).

Almost surely, 213312140 is an apocalyptic number.

13312140 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 13312140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18794496).

13312140 is an abundant number, since it is smaller than the sum of its proper divisors (24276852).

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

13312140 is a wasteful number, since it uses less digits than its factorization.

13312140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1884 counting only the distinct ones).

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

The square root of 13312140 is about 3648.5805459110. The cubic root of 13312140 is about 237.0005162979. Note that the first 3 decimals are identical.

Adding to 13312140 its reverse (4121331), we get a palindrome (17433471).

The spelling of 13312140 in words is "thirteen million, three hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1747 1905 2540 3494 3810 5241 6988 7620 8735 10482 17470 20964 26205 34940 52410 104820 221869 443738 665607 887476 1109345 1331214 2218690 2662428 3328035 4437380 6656070 13312140