Search a number
-
+
1315520136 = 233377431171
BaseRepresentation
bin100111001101001…
…0011111010001000
310101200101100101000
41032122103322020
510143233121021
6334312055000
744412510450
oct11632237210
93350340330
101315520136
11615638827
12308694460
1317c7102a8
14c6a00d60
157a758b26
hex4e693e88

1315520136 has 128 divisors (see below), whose sum is σ = 4185446400. Its totient is φ = 375036480.

The previous prime is 1315520117. The next prime is 1315520159. The reversal of 1315520136 is 6310255131.

1315520136 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 520 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1122831 + ... + 1124001.

It is an arithmetic number, because the mean of its divisors is an integer number (32698800).

Almost surely, 21315520136 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 1315520136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092723200).

1315520136 is an abundant number, since it is smaller than the sum of its proper divisors (2869926264).

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

1315520136 is a wasteful number, since it uses less digits than its factorization.

1315520136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1315520136 is about 36270.0997517239. The cubic root of 1315520136 is about 1095.7189348899.

Adding to 1315520136 its reverse (6310255131), we get a palindrome (7625775267).

The spelling of 1315520136 in words is "one billion, three hundred fifteen million, five hundred twenty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 743 756 1171 1486 1512 2229 2342 2972 3513 4458 4684 5201 5944 6687 7026 8197 8916 9368 10402 10539 13374 14052 15603 16394 17832 20061 20804 21078 24591 26748 28104 31206 31617 32788 40122 41608 42156 46809 49182 53496 62412 63234 65576 73773 80244 84312 93618 98364 124824 126468 140427 147546 160488 187236 196728 221319 252936 280854 295092 374472 442638 561708 590184 870053 885276 1123416 1740106 1770552 2610159 3480212 5220318 6090371 6960424 7830477 10440636 12180742 15660954 18271113 20881272 23491431 24361484 31321908 36542226 46982862 48722968 54813339 62643816 73084452 93965724 109626678 146168904 164440017 187931448 219253356 328880034 438506712 657760068 1315520136