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1300065096 = 2331143711613
BaseRepresentation
bin100110101111101…
…0110101101001000
310100121022011001010
41031133112231020
510130304040341
6333000523520
744134241151
oct11537265510
93317264033
101300065096
11607942170
123034805a0
1317945b7b5
14c493a928
1579204716
hex4d7d6b48

1300065096 has 128 divisors (see below), whose sum is σ = 3681469440. Its totient is φ = 379142400.

The previous prime is 1300065077. The next prime is 1300065121. The reversal of 1300065096 is 6905600031.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 805186 + ... + 806798.

It is an arithmetic number, because the mean of its divisors is an integer number (28761480).

Almost surely, 21300065096 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 1300065096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840734720).

1300065096 is an abundant number, since it is smaller than the sum of its proper divisors (2381404344).

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

1300065096 is a wasteful number, since it uses less digits than its factorization.

1300065096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 1300065096 is about 36056.4154624389. The cubic root of 1300065096 is about 1091.4110995035.

The spelling of 1300065096 in words is "one billion, three hundred million, sixty-five thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 71 86 88 129 132 142 172 213 258 264 284 344 426 473 516 568 781 852 946 1032 1419 1562 1613 1704 1892 2343 2838 3053 3124 3226 3784 4686 4839 5676 6106 6248 6452 9159 9372 9678 11352 12212 12904 17743 18318 18744 19356 24424 33583 35486 36636 38712 53229 67166 69359 70972 73272 100749 106458 114523 134332 138718 141944 201498 208077 212916 229046 268664 277436 343569 402996 416154 425832 458092 554872 687138 762949 805992 832308 916184 1259753 1374276 1525898 1664616 2288847 2519506 2748552 3051796 3779259 4577694 4924489 5039012 6103592 7558518 9155388 9848978 10078024 14773467 15117036 18310776 19697956 29546934 30234072 39395912 54169379 59093868 108338758 118187736 162508137 216677516 325016274 433355032 650032548 1300065096