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1330038528 = 28371319031
BaseRepresentation
bin100111101000110…
…1100011100000000
310102200200221212020
41033101230130000
510210442213103
6335551201440
744650066230
oct11721543400
93380627766
101330038528
116228546a5
12311516280
13182724660
14c88ddcc0
157bb75753
hex4f46c700

1330038528 has 144 divisors (see below), whose sum is σ = 4356957696. Its totient is φ = 350760960.

The previous prime is 1330038509. The next prime is 1330038533. The reversal of 1330038528 is 8258300331.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 60373 + ... + 79403.

Almost surely, 21330038528 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 1330038528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178478848).

1330038528 is an abundant number, since it is smaller than the sum of its proper divisors (3026919168).

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

1330038528 is a wasteful number, since it uses less digits than its factorization.

1330038528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19070 (or 19056 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1330038528 is about 36469.6932808599. The cubic root of 1330038528 is about 1099.7350678774.

Adding to 1330038528 its reverse (8258300331), we get a palindrome (9588338859).

The spelling of 1330038528 in words is "one billion, three hundred thirty million, thirty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1344 1456 1664 1792 2184 2496 2688 2912 3328 4368 4992 5376 5824 8736 9984 11648 17472 19031 23296 34944 38062 57093 69888 76124 114186 133217 152248 228372 247403 266434 304496 399651 456744 494806 532868 608992 742209 799302 913488 989612 1065736 1217984 1484418 1598604 1731821 1826976 1979224 2131472 2435968 2968836 3197208 3463642 3653952 3958448 4262944 4871936 5195463 5937672 6394416 6927284 7307904 7916896 8525888 10390926 11875344 12788832 13854568 14615808 15833792 17051776 20781852 23750688 25577664 27709136 31667584 34103552 41563704 47501376 51155328 55418272 63335168 83127408 95002752 102310656 110836544 166254816 190005504 221673088 332509632 443346176 665019264 1330038528