Search a number
-
+
1266213000 = 233531332467
BaseRepresentation
bin100101101111000…
…1110000010001000
310021020121021200210
41023132032002020
510043122304000
6325351201120
743243430043
oct11336160210
93236537623
101266213000
1159a820628
122b40761a0
13172438380
14c0247c5a
1576269350
hex4b78e088

1266213000 has 128 divisors (see below), whose sum is σ = 4254606720. Its totient is φ = 311673600.

The previous prime is 1266212971. The next prime is 1266213031. The reversal of 1266213000 is 3126621.

It is a happy number.

It is a super-2 number, since 2×12662130002 = 3206590722738000000, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 22767 + ... + 55233.

It is an arithmetic number, because the mean of its divisors is an integer number (33239115).

Almost surely, 21266213000 is an apocalyptic number.

1266213000 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 1266213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2127303360).

1266213000 is an abundant number, since it is smaller than the sum of its proper divisors (2988393720).

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

1266213000 is a wasteful number, since it uses less digits than its factorization.

1266213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32504 (or 32490 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1266213000 is about 35583.8868028775. The cubic root of 1266213000 is about 1081.8546664120.

Adding to 1266213000 its reverse (3126621), we get a palindrome (1269339621).

It can be divided in two parts, 126 and 6213000, that added together give a palindrome (6213126).

The spelling of 1266213000 in words is "one billion, two hundred sixty-six million, two hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 125 130 150 156 195 200 250 260 300 312 325 375 390 500 520 600 650 750 780 975 1000 1300 1500 1560 1625 1950 2600 3000 3250 3900 4875 6500 7800 9750 13000 19500 32467 39000 64934 97401 129868 162335 194802 259736 324670 389604 422071 487005 649340 779208 811675 844142 974010 1266213 1298680 1623350 1688284 1948020 2110355 2435025 2532426 3246700 3376568 3896040 4058375 4220710 4870050 5064852 6331065 6493400 8116750 8441420 9740100 10129704 10551775 12175125 12662130 16233500 16882840 19480200 21103550 24350250 25324260 31655325 32467000 42207100 48700500 50648520 52758875 63310650 84414200 97401000 105517750 126621300 158276625 211035500 253242600 316553250 422071000 633106500 1266213000