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1399011300 = 2232521579901
BaseRepresentation
bin101001101100011…
…0011011111100100
310121111111010201100
41103120303133210
510331121330200
6350453400100
746445254101
oct12330633744
93544433640
101399011300
11658783995
12330639030
13193ac374b
14d3b35aa8
1582c4bd00
hex536337e4

1399011300 has 108 divisors (see below), whose sum is σ = 4413499636. Its totient is φ = 370656000.

The previous prime is 1399011283. The next prime is 1399011331. The reversal of 1399011300 is 31109931.

It can be written as a sum of positive squares in 6 ways, for example, as 2643876 + 1396367424 = 1626^2 + 37368^2 .

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 35 ways as a sum of consecutive naturals, for example, 136350 + ... + 146250.

Almost surely, 21399011300 is an apocalyptic number.

1399011300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1399011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206749818).

1399011300 is an abundant number, since it is smaller than the sum of its proper divisors (3014488336).

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

1399011300 is a wasteful number, since it uses less digits than its factorization.

1399011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10078 (or 10068 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 27.

The square root of 1399011300 is about 37403.3594747851. The cubic root of 1399011300 is about 1118.4255353604.

The spelling of 1399011300 in words is "one billion, three hundred ninety-nine million, eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 157 180 225 300 314 450 471 628 785 900 942 1413 1570 1884 2355 2826 3140 3925 4710 5652 7065 7850 9420 9901 11775 14130 15700 19802 23550 28260 29703 35325 39604 47100 49505 59406 70650 89109 99010 118812 141300 148515 178218 198020 247525 297030 356436 445545 495050 594060 742575 891090 990100 1485150 1554457 1782180 2227725 2970300 3108914 4455450 4663371 6217828 7772285 8910900 9326742 13990113 15544570 18653484 23316855 27980226 31089140 38861425 46633710 55960452 69950565 77722850 93267420 116584275 139901130 155445700 233168550 279802260 349752825 466337100 699505650 1399011300