Search a number
-
+
1315500000 = 25356877
BaseRepresentation
bin100111001101000…
…1110111111100000
310101200100022202020
41032122032333200
510143232000000
6334311421440
744412364653
oct11632167740
93350308666
101315500000
11615624691
12308684880
1317c704089
14c69d789a
157a752ba0
hex4e68efe0

1315500000 has 168 divisors, whose sum is σ = 4321350936. Its totient is φ = 350400000.

The previous prime is 1315499993. The next prime is 1315500007. The reversal of 1315500000 is 55131.

It is an interprime number because it is at equal distance from previous prime (1315499993) and next prime (1315500007).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315500007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1499562 + ... + 1500438.

It is an arithmetic number, because the mean of its divisors is an integer number (25722327).

Almost surely, 21315500000 is an apocalyptic number.

1315500000 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 1315500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160675468).

1315500000 is an abundant number, since it is smaller than the sum of its proper divisors (3005850936).

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

1315500000 is an frugal number, since it uses more digits than its factorization.

1315500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 1315500000 is about 36269.8221666443. The cubic root of 1315500000 is about 1095.7133443232.

Adding to 1315500000 its reverse (55131), we get a palindrome (1315555131).

The spelling of 1315500000 in words is "one billion, three hundred fifteen million, five hundred thousand".