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1315115104 = 25176139631
BaseRepresentation
bin100111001100011…
…0001000001100000
310101122121202202211
41032120301001200
510143132140404
6334255251504
744406202552
oct11630610140
93348552684
101315115104
11615391496
12308519b94
1317c5cab24
14c69374d2
157a6c8b04
hex4e631060

1315115104 has 48 divisors (see below), whose sum is σ = 2786446656. Its totient is φ = 608716800.

The previous prime is 1315115093. The next prime is 1315115107. The reversal of 1315115104 is 4015115131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315115107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13369 + ... + 52999.

It is an arithmetic number, because the mean of its divisors is an integer number (58050972).

Almost surely, 21315115104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1315115104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393223328).

1315115104 is an abundant number, since it is smaller than the sum of its proper divisors (1471331552).

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

1315115104 is a wasteful number, since it uses less digits than its factorization.

1315115104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39719 (or 39711 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 22.

The square root of 1315115104 is about 36264.5157695508. The cubic root of 1315115104 is about 1095.6064706830.

The spelling of 1315115104 in words is "one billion, three hundred fifteen million, one hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 61 68 122 136 244 272 488 544 976 1037 1952 2074 4148 8296 16592 33184 39631 79262 158524 317048 634096 673727 1268192 1347454 2417491 2694908 4834982 5389816 9669964 10779632 19339928 21559264 38679856 41097347 77359712 82194694 164389388 328778776 657557552 1315115104