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1312140 = 2235191151
BaseRepresentation
bin101000000010110001100
32110122220210
411000112030
5313442030
644042420
714103324
oct5002614
92418823
101312140
11816915
12533410
1336c31b
14262284
151adbb0
hex14058c

1312140 has 48 divisors (see below), whose sum is σ = 3870720. Its totient is φ = 331200.

The previous prime is 1312139. The next prime is 1312153. The reversal of 1312140 is 412131.

It is a happy number.

It is a super-2 number, since 2×13121402 = 3443422759200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565 + ... + 1715.

It is an arithmetic number, because the mean of its divisors is an integer number (80640).

21312140 is an apocalyptic number.

1312140 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 1312140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935360).

1312140 is an abundant number, since it is smaller than the sum of its proper divisors (2558580).

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

1312140 is a wasteful number, since it uses less digits than its factorization.

1312140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1312140 is about 1145.4867960828. The cubic root of 1312140 is about 109.4779672524.

Adding to 1312140 its reverse (412131), we get a palindrome (1724271).

Subtracting from 1312140 its reverse (412131), we obtain a palindrome (900009).

The spelling of 1312140 in words is "one million, three hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 1151 2302 3453 4604 5755 6906 11510 13812 17265 21869 23020 34530 43738 65607 69060 87476 109345 131214 218690 262428 328035 437380 656070 1312140