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1330091424 = 253217317857
BaseRepresentation
bin100111101000111…
…1001010110100000
310102200210122102100
41033101321112200
510211000411144
6335552250400
744650406364
oct11721712640
93380718370
101330091424
11622890412
12311540a00
1318274275c
14c89152a4
157bb86269
hex4f4795a0

1330091424 has 144 divisors (see below), whose sum is σ = 4022266248. Its totient is φ = 415481856.

The previous prime is 1330091381. The next prime is 1330091431. The reversal of 1330091424 is 4241900331.

It can be written as a sum of positive squares in 4 ways, for example, as 1240448400 + 89643024 = 35220^2 + 9468^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1551604 + ... + 1552460.

Almost surely, 21330091424 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 1330091424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011133124).

1330091424 is an abundant number, since it is smaller than the sum of its proper divisors (2692174824).

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

1330091424 is a wasteful number, since it uses less digits than its factorization.

1330091424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1330091424 is about 36470.4184785423. The cubic root of 1330091424 is about 1099.7496466067.

Adding to 1330091424 its reverse (4241900331), we get a palindrome (5571991755).

The spelling of 1330091424 in words is "one billion, three hundred thirty million, ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 317 408 544 612 634 816 857 951 1224 1268 1632 1714 1902 2448 2536 2571 2853 3428 3804 4896 5072 5142 5389 5706 6856 7608 7713 10144 10284 10778 11412 13712 14569 15216 15426 16167 20568 21556 22824 27424 29138 30432 30852 32334 41136 43112 43707 45648 48501 58276 61704 64668 82272 86224 87414 91296 97002 116552 123408 129336 131121 172448 174828 194004 233104 246816 258672 262242 271669 349656 388008 466208 517344 524484 543338 699312 776016 815007 1048968 1086676 1398624 1552032 1630014 2097936 2173352 2445021 3260028 4195872 4346704 4618373 4890042 6520056 8693408 9236746 9780084 13040112 13855119 18473492 19560168 26080224 27710238 36946984 39120336 41565357 55420476 73893968 78240672 83130714 110840952 147787936 166261428 221681904 332522856 443363808 665045712 1330091424