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1339130208 = 253131318191
BaseRepresentation
bin100111111010001…
…1000000101100000
310110022210212022010
41033310120011200
510220304131313
6340514112520
745120263463
oct11764300540
93408725263
101339130208
116279a4389
1231457b740
13184588950
14c9bc92da
157c86e4c3
hex4fd18160

1339130208 has 96 divisors (see below), whose sum is σ = 3814981632. Its totient is φ = 408844800.

The previous prime is 1339130207. The next prime is 1339130231. The reversal of 1339130208 is 8020319331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1339130207) 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, 159393 + ... + 167583.

It is an arithmetic number, because the mean of its divisors is an integer number (39739392).

Almost surely, 21339130208 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 1339130208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907490816).

1339130208 is an abundant number, since it is smaller than the sum of its proper divisors (2475851424).

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

1339130208 is a wasteful number, since it uses less digits than its factorization.

1339130208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8348 (or 8340 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1339130208 is about 36594.1280535553. The cubic root of 1339130208 is about 1102.2351817930.

Adding to 1339130208 its reverse (8020319331), we get a palindrome (9359449539).

The spelling of 1339130208 in words is "one billion, three hundred thirty-nine million, one hundred thirty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 131 156 208 262 312 393 416 524 624 786 1048 1248 1572 1703 2096 3144 3406 4192 5109 6288 6812 8191 10218 12576 13624 16382 20436 24573 27248 32764 40872 49146 54496 65528 81744 98292 106483 131056 163488 196584 212966 262112 319449 393168 425932 638898 786336 851864 1073021 1277796 1703728 2146042 2555592 3219063 3407456 4292084 5111184 6438126 8584168 10222368 12876252 13949273 17168336 25752504 27898546 34336672 41847819 51505008 55797092 83695638 103010016 111594184 167391276 223188368 334782552 446376736 669565104 1339130208