Search a number
-
+
1315253304 = 23327922927
BaseRepresentation
bin100111001100101…
…0010110000111000
310101122212210100100
41032121102300320
510143201101204
6334302235400
744410316511
oct11631226070
93348783310
101315253304
11615476302
12308585b60
1317c6489c1
14c6971a08
157a704a39
hex4e652c38

1315253304 has 72 divisors (see below), whose sum is σ = 3609038160. Its totient is φ = 432720288.

The previous prime is 1315253249. The next prime is 1315253371. The reversal of 1315253304 is 4033525131.

1315253304 is a `hidden beast` number, since 131 + 525 + 3 + 3 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 447889 + ... + 450815.

It is an arithmetic number, because the mean of its divisors is an integer number (50125530).

Almost surely, 21315253304 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 1315253304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804519080).

1315253304 is an abundant number, since it is smaller than the sum of its proper divisors (2293784856).

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

1315253304 is a wasteful number, since it uses less digits than its factorization.

1315253304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3097 (or 3011 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1315253304 is about 36266.4211633847. The cubic root of 1315253304 is about 1095.6448469210.

Adding to 1315253304 its reverse (4033525131), we get a palindrome (5348778435).

The spelling of 1315253304 in words is "one billion, three hundred fifteen million, two hundred fifty-three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 316 474 632 711 948 1422 1896 2844 2927 5688 5854 6241 8781 11708 12482 17562 18723 23416 24964 26343 35124 37446 49928 52686 56169 70248 74892 105372 112338 149784 210744 224676 231233 449352 462466 693699 924932 1387398 1849864 2081097 2774796 4162194 5549592 8324388 16648776 18267407 36534814 54802221 73069628 109604442 146139256 164406663 219208884 328813326 438417768 657626652 1315253304