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1266221320 = 235713541643
BaseRepresentation
bin100101101111001…
…0000000100001000
310021020121201002221
41023132100010020
510043123040240
6325351303424
743243463230
oct11336200410
93236551087
101266221320
1159a826901
122b407ab74
1317243c0b0
14c024acc0
157626ba4a
hex4b790108

1266221320 has 128 divisors (see below), whose sum is σ = 3518403840. Its totient is φ = 399375360.

The previous prime is 1266221311. The next prime is 1266221329. The reversal of 1266221320 is 231226621.

It is an interprime number because it is at equal distance from previous prime (1266221311) and next prime (1266221329).

It is not an unprimeable number, because it can be changed into a prime (1266221329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1968919 + ... + 1969561.

It is an arithmetic number, because the mean of its divisors is an integer number (27487530).

Almost surely, 21266221320 is an apocalyptic number.

1266221320 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 1266221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759201920).

1266221320 is an abundant number, since it is smaller than the sum of its proper divisors (2252182520).

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

1266221320 is a wasteful number, since it uses less digits than its factorization.

1266221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 1266221320 is about 35584.0037095322. The cubic root of 1266221320 is about 1081.8570359478.

Adding to 1266221320 its reverse (231226621), we get a palindrome (1497447941).

The spelling of 1266221320 in words is "one billion, two hundred sixty-six million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 541 643 728 910 1082 1286 1820 2164 2572 2705 3215 3640 3787 4328 4501 5144 5410 6430 7033 7574 8359 9002 10820 12860 14066 15148 16718 18004 18935 21640 22505 25720 28132 30296 33436 35165 36008 37870 41795 45010 49231 56264 58513 66872 70330 75740 83590 90020 98462 117026 140660 151480 167180 180040 196924 234052 246155 281320 292565 334360 347863 393848 468104 492310 585130 695726 984620 1170260 1391452 1739315 1969240 2340520 2435041 2782904 3478630 4522219 4870082 6957260 9044438 9740164 12175205 13914520 18088876 19480328 22611095 24350410 31655533 36177752 45222190 48700820 63311066 90444380 97401640 126622132 158277665 180888760 253244264 316555330 633110660 1266221320