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1312415260 = 2251331316127
BaseRepresentation
bin100111000111001…
…1101111000011100
310101110112121021121
41032032131320130
510141434242020
6334121340324
744344226362
oct11616357034
93343477247
101312415260
11613908012
123076376a4
1317bb93ca0
14c6433632
157a343baa
hex4e39de1c

1312415260 has 48 divisors (see below), whose sum is σ = 2977744896. Its totient is φ = 483005952.

The previous prime is 1312415231. The next prime is 1312415261. The reversal of 1312415260 is 625142131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312415261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73317 + ... + 89443.

It is an arithmetic number, because the mean of its divisors is an integer number (62036352).

Almost surely, 21312415260 is an apocalyptic number.

1312415260 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 1312415260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488872448).

1312415260 is an abundant number, since it is smaller than the sum of its proper divisors (1665329636).

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

1312415260 is a wasteful number, since it uses less digits than its factorization.

1312415260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16462 (or 16460 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 1312415260 is about 36227.2723234858. The cubic root of 1312415260 is about 1094.8562212615.

Adding to 1312415260 its reverse (625142131), we get a palindrome (1937557391).

The spelling of 1312415260 in words is "one billion, three hundred twelve million, four hundred fifteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 313 626 1252 1565 3130 4069 6260 8138 16127 16276 20345 32254 40690 64508 80635 81380 161270 209651 322540 419302 838604 1048255 2096510 4193020 5047751 10095502 20191004 25238755 50477510 65620763 100955020 131241526 262483052 328103815 656207630 1312415260