Search a number
-
+
1312010440 = 235134575521
BaseRepresentation
bin100111000110011…
…1011000011001000
310101102210000222021
41032030323003020
510141333313230
6334104534224
744340622216
oct11614730310
93342700867
101312010440
11613660954
12307481374
1317ba81950
14c6369cb6
157a2b3c7a
hex4e33b0c8

1312010440 has 64 divisors (see below), whose sum is σ = 3186635760. Its totient is φ = 483287040.

The previous prime is 1312010419. The next prime is 1312010467. The reversal of 1312010440 is 440102131.

It can be written as a sum of positive squares in 8 ways, for example, as 431226756 + 880783684 = 20766^2 + 29678^2 .

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, 234880 + ... + 240400.

Almost surely, 21312010440 is an apocalyptic number.

1312010440 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 1312010440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593317880).

1312010440 is an abundant number, since it is smaller than the sum of its proper divisors (1874625320).

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

1312010440 is a wasteful number, since it uses less digits than its factorization.

1312010440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6002 (or 5998 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1312010440 is about 36221.6846654045. The cubic root of 1312010440 is about 1094.7436386850.

Adding to 1312010440 its reverse (440102131), we get a palindrome (1752112571).

The spelling of 1312010440 in words is "one billion, three hundred twelve million, ten thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 457 520 914 1828 2285 3656 4570 5521 5941 9140 11042 11882 18280 22084 23764 27605 29705 44168 47528 55210 59410 71773 110420 118820 143546 220840 237640 287092 358865 574184 717730 1435460 2523097 2870920 5046194 10092388 12615485 20184776 25230970 32800261 50461940 65600522 100923880 131201044 164001305 262402088 328002610 656005220 1312010440