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1331300240 = 245137121469
BaseRepresentation
bin100111101011010…
…0000011110010000
310102210002001121022
41033112200132100
510211303101430
6340034215012
744663602544
oct11726403620
93383061538
101331300240
11623536636
12311a24468
13182a76a2a
14c8b4ba24
157bd244e5
hex4f5a0790

1331300240 has 40 divisors (see below), whose sum is σ = 3117891960. Its totient is φ = 528628736.

The previous prime is 1331300123. The next prime is 1331300261. The reversal of 1331300240 is 420031331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 319551376 + 1011748864 = 17876^2 + 31808^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49775 + ... + 71694.

It is an arithmetic number, because the mean of its divisors is an integer number (77947299).

Almost surely, 21331300240 is an apocalyptic number.

1331300240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331300240 is an abundant number, since it is smaller than the sum of its proper divisors (1786591720).

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

1331300240 is a wasteful number, since it uses less digits than its factorization.

1331300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121619 (or 121613 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 1331300240 is about 36486.9872694362. The cubic root of 1331300240 is about 1100.0827045254.

Adding to 1331300240 its reverse (420031331), we get a palindrome (1751331571).

The spelling of 1331300240 in words is "one billion, three hundred thirty-one million, three hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 10960 121469 242938 485876 607345 971752 1214690 1943504 2429380 4858760 9717520 16641253 33282506 66565012 83206265 133130024 166412530 266260048 332825060 665650120 1331300240