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1313203240 = 235193494951
BaseRepresentation
bin100111001000101…
…1110010000101000
310101112000122012001
41032101132100220
510142140000430
6334150300344
744354020606
oct11621362050
93345018161
101313203240
116142a6038
123079576b4
1317c0ab84b
14c659a876
157a44c3ca
hex4e45e428

1313203240 has 64 divisors (see below), whose sum is σ = 3119760000. Its totient is φ = 496108800.

The previous prime is 1313203237. The next prime is 1313203247. The reversal of 1313203240 is 423023131.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (1313203247) by changing a digit.

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, 262765 + ... + 267715.

It is an arithmetic number, because the mean of its divisors is an integer number (48746250).

Almost surely, 21313203240 is an apocalyptic number.

1313203240 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 1313203240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559880000).

1313203240 is an abundant number, since it is smaller than the sum of its proper divisors (1806556760).

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

1313203240 is a wasteful number, since it uses less digits than its factorization.

1313203240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5330 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1313203240 is about 36238.1461998265. The cubic root of 1313203240 is about 1095.0752962824.

Adding to 1313203240 its reverse (423023131), we get a palindrome (1736226371).

The spelling of 1313203240 in words is "one billion, three hundred thirteen million, two hundred three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 349 380 698 760 1396 1745 2792 3490 4951 6631 6980 9902 13262 13960 19804 24755 26524 33155 39608 49510 53048 66310 94069 99020 132620 188138 198040 265240 376276 470345 752552 940690 1727899 1881380 3455798 3762760 6911596 8639495 13823192 17278990 32830081 34557980 65660162 69115960 131320324 164150405 262640648 328300810 656601620 1313203240