Search a number
-
+
1303315136 = 2673833361
BaseRepresentation
bin100110110101111…
…0000001011000000
310100211102021020222
41031223300023000
510132122041021
6333154322212
744203665404
oct11553601300
93324367228
101303315136
11609761a52
12304589368
1317a028bb6
14c5145104
15796476ab
hex4daf02c0

1303315136 has 56 divisors (see below), whose sum is σ = 2654070384. Its totient is φ = 634798080.

The previous prime is 1303315109. The next prime is 1303315141. The reversal of 1303315136 is 6315133031.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 386096 + ... + 389456.

It is an arithmetic number, because the mean of its divisors is an integer number (47394114).

Almost surely, 21303315136 is an apocalyptic number.

1303315136 is a gapful number since it is divisible by the number (16) 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 1303315136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327035192).

1303315136 is an abundant number, since it is smaller than the sum of its proper divisors (1350755248).

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

1303315136 is an equidigital number, since it uses as much as digits as its factorization.

1303315136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 26.

The square root of 1303315136 is about 36101.4561479174. The cubic root of 1303315136 is about 1092.3198175898.

Adding to 1303315136 its reverse (6315133031), we get a palindrome (7618448167).

The spelling of 1303315136 in words is "one billion, three hundred three million, three hundred fifteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 73 83 146 166 292 332 584 664 1168 1328 2336 2656 3361 4672 5312 6059 6722 12118 13444 24236 26888 48472 53776 96944 107552 193888 215104 245353 278963 387776 490706 557926 981412 1115852 1962824 2231704 3925648 4463408 7851296 8926816 15702592 17853632 20364299 40728598 81457196 162914392 325828784 651657568 1303315136