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1315000000 = 2657263
BaseRepresentation
bin100111001100001…
…0100111011000000
310101122101220212201
41032120110323000
510143120000000
6334253002544
744405213146
oct11630247300
93348356781
101315000000
11615312a66
12308483454
1317c58a612
14c6907596
157a6a496a
hex4e614ec0

1315000000 has 112 divisors (see below), whose sum is σ = 3274210368. Its totient is φ = 524000000.

The previous prime is 1314999991. The next prime is 1315000007. The reversal of 1315000000 is 5131.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1315000007) 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, 4999869 + ... + 5000131.

Almost surely, 21315000000 is an apocalyptic number.

1315000000 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 1315000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637105184).

1315000000 is an abundant number, since it is smaller than the sum of its proper divisors (1959210368).

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

1315000000 is an frugal number, since it uses more digits than its factorization.

1315000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 1315000000 is about 36262.9287289375. The cubic root of 1315000000 is about 1095.5745058341.

Adding to 1315000000 its reverse (5131), we get a palindrome (1315005131).

The spelling of 1315000000 in words is "one billion, three hundred fifteen million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 263 320 400 500 526 625 800 1000 1052 1250 1315 1600 2000 2104 2500 2630 3125 4000 4208 5000 5260 6250 6575 8000 8416 10000 10520 12500 13150 15625 16832 20000 21040 25000 26300 31250 32875 40000 42080 50000 52600 62500 65750 78125 84160 100000 105200 125000 131500 156250 164375 200000 210400 250000 263000 312500 328750 420800 500000 526000 625000 657500 821875 1000000 1052000 1250000 1315000 1643750 2104000 2500000 2630000 3287500 4109375 5000000 5260000 6575000 8218750 10520000 13150000 16437500 20546875 26300000 32875000 41093750 52600000 65750000 82187500 131500000 164375000 263000000 328750000 657500000 1315000000