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1311342160 = 24531237461
BaseRepresentation
bin100111000101001…
…0111111001010000
310101101112002021011
41032022113321100
510141200422120
6334042340304
744332136662
oct11612277120
93341462234
101311342160
11613244857
123071ba694
1317b8a970b
14c6234532
157a1d0c5a
hex4e297e50

1311342160 has 120 divisors (see below), whose sum is σ = 3242558088. Its totient is φ = 492825600.

The previous prime is 1311342139. The next prime is 1311342163. The reversal of 1311342160 is 612431131.

It can be written as a sum of positive squares in 4 ways, for example, as 255872016 + 1055470144 = 15996^2 + 32488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311342163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2844330 + ... + 2844790.

Almost surely, 21311342160 is an apocalyptic number.

1311342160 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 1311342160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621279044).

1311342160 is an abundant number, since it is smaller than the sum of its proper divisors (1931215928).

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

1311342160 is a wasteful number, since it uses less digits than its factorization.

1311342160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1311342160 is about 36212.4586295932. The cubic root of 1311342160 is about 1094.5577358127.

Adding to 1311342160 its reverse (612431131), we get a palindrome (1923773291).

The spelling of 1311342160 in words is "one billion, three hundred eleven million, three hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 37 40 62 74 80 124 148 155 185 248 296 310 370 461 496 592 620 740 922 961 1147 1240 1480 1844 1922 2294 2305 2480 2960 3688 3844 4588 4610 4805 5735 7376 7688 9176 9220 9610 11470 14291 15376 17057 18352 18440 19220 22940 28582 34114 35557 36880 38440 45880 57164 68228 71114 71455 76880 85285 91760 114328 136456 142228 142910 170570 177785 228656 272912 284456 285820 341140 355570 443021 528767 568912 571640 682280 711140 886042 1057534 1143280 1364560 1422280 1772084 2115068 2215105 2643835 2844560 3544168 4230136 4430210 5287670 7088336 8460272 8860420 10575340 16391777 17720840 21150680 32783554 35441680 42301360 65567108 81958885 131134216 163917770 262268432 327835540 655671080 1311342160