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1300071366 = 2321123319209
BaseRepresentation
bin100110101111101…
…1000001111000110
310100121022110122100
41031133120033012
510130304240431
6333001012530
744134265346
oct11537301706
93317273570
101300071366
11607946950
12303484146
131794615c9
14c493cd26
15792064e6
hex4d7d83c6

1300071366 has 96 divisors (see below), whose sum is σ = 3310295040. Its totient is φ = 364636800.

The previous prime is 1300071349. The next prime is 1300071401. The reversal of 1300071366 is 6631700031.

It is a Curzon number.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 136570 + ... + 145778.

It is an arithmetic number, because the mean of its divisors is an integer number (34482240).

Almost surely, 21300071366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300071366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655147520).

1300071366 is an abundant number, since it is smaller than the sum of its proper divisors (2010223674).

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

1300071366 is a wasteful number, since it uses less digits than its factorization.

1300071366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9282 (or 9279 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1300071366 is about 36056.5024094129. The cubic root of 1300071366 is about 1091.4128540660.

Adding to 1300071366 its reverse (6631700031), we get a palindrome (7931771397).

The spelling of 1300071366 in words is "one billion, three hundred million, seventy-one thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 23 31 33 46 62 66 69 93 99 138 186 198 207 253 279 341 414 506 558 682 713 759 1023 1426 1518 2046 2139 2277 3069 4278 4554 6138 6417 7843 9209 12834 15686 18418 23529 27627 47058 55254 70587 82881 101299 141174 165762 202598 211807 285479 303897 423614 570958 607794 635421 856437 911691 1270842 1712874 1823382 1906263 2329877 2569311 3140269 3812526 4659754 5138622 6280538 6566017 6989631 9420807 13132034 13979262 18841614 19698051 20968893 28262421 39396102 41937786 56524842 59094153 72226187 118188306 144452374 216678561 433357122 650035683 1300071366