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1312315540 = 225292399467
BaseRepresentation
bin100111000111000…
…0101100010010100
310101110100112111021
41032032011202110
510141423044130
6334115250524
744343332554
oct11616054224
93343315437
101312315540
1161384a0a8
123075a9a44
1317bb5a793
14c6409164
157a32437a
hex4e385894

1312315540 has 48 divisors (see below), whose sum is σ = 2863123200. Its totient is φ = 504651392.

The previous prime is 1312315489. The next prime is 1312315597. The reversal of 1312315540 is 455132131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133887 + ... + 143353.

It is an arithmetic number, because the mean of its divisors is an integer number (59648400).

Almost surely, 21312315540 is an apocalyptic number.

1312315540 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 1312315540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431561600).

1312315540 is an abundant number, since it is smaller than the sum of its proper divisors (1550807660).

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

1312315540 is a wasteful number, since it uses less digits than its factorization.

1312315540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9744 (or 9742 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 1312315540 is about 36225.8959861589. The cubic root of 1312315540 is about 1094.8284907530.

Adding to 1312315540 its reverse (455132131), we get a palindrome (1767447671).

The spelling of 1312315540 in words is "one billion, three hundred twelve million, three hundred fifteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 239 290 478 580 956 1195 2390 4780 6931 9467 13862 18934 27724 34655 37868 47335 69310 94670 138620 189340 274543 549086 1098172 1372715 2262613 2745430 4525226 5490860 9050452 11313065 22626130 45252260 65615777 131231554 262463108 328078885 656157770 1312315540