Search a number
-
+
1310142960 = 243257259949
BaseRepresentation
bin100111000010111…
…0011000111110000
310101022021011021100
41032011303013300
510140344033320
6334000524400
744316013530
oct11605630760
93338234240
101310142960
116125a5885
12306920700
1317b579929
14c60014c0
157a045790
hex4e1731f0

1310142960 has 120 divisors (see below), whose sum is σ = 5028472800. Its totient is φ = 299460096.

The previous prime is 1310142901. The next prime is 1310143057. The reversal of 1310142960 is 692410131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124935 + ... + 135014.

It is an arithmetic number, because the mean of its divisors is an integer number (41903940).

Almost surely, 21310142960 is an apocalyptic number.

1310142960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310142960 is an abundant number, since it is smaller than the sum of its proper divisors (3718329840).

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

1310142960 is a wasteful number, since it uses less digits than its factorization.

1310142960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259975 (or 259966 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1310142960 is about 36195.8970050474. The cubic root of 1310142960 is about 1094.2239826054.

The spelling of 1310142960 in words is "one billion, three hundred ten million, one hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 259949 519898 779847 1039796 1299745 1559694 1819643 2079592 2339541 2599490 3119388 3639286 3899235 4159184 4679082 5198980 5458929 6238776 7278572 7798470 9098215 9358164 10397960 10917858 11697705 12477552 14557144 15596940 16376787 18196430 18716328 20795920 21835716 23395410 27294645 29114288 31193880 32753574 36392860 37432656 43671432 46790820 54589290 62387760 65507148 72785720 81883935 87342864 93581640 109178580 131014296 145571440 163767870 187163280 218357160 262028592 327535740 436714320 655071480 1310142960