Search a number
-
+
1300444065 = 34523313781
BaseRepresentation
bin100110110000011…
…0011001110100001
310100122000101220000
41031200303032201
510130403202230
6333013010213
744140410054
oct11540631641
93318011800
101300444065
11608080968
12303623969
1317956213b
14c49d8a9b
157927bb60
hex4d8333a1

1300444065 has 40 divisors (see below), whose sum is σ = 2341341288. Its totient is φ = 690543360.

The previous prime is 1300444051. The next prime is 1300444073. The reversal of 1300444065 is 5604440031.

It can be written as a sum of positive squares in 4 ways, for example, as 50680161 + 1249763904 = 7119^2 + 35352^2 .

It is not a de Polignac number, because 1300444065 - 215 = 1300411297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 87475 + ... + 101255.

Almost surely, 21300444065 is an apocalyptic number.

1300444065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1300444065 is a deficient number, since it is larger than the sum of its proper divisors (1040897223).

1300444065 is a wasteful number, since it uses less digits than its factorization.

1300444065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14031 (or 14022 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1300444065 is about 36061.6703024139. The cubic root of 1300444065 is about 1091.5171379861.

Adding to 1300444065 its reverse (5604440031), we get a palindrome (6904884096).

The spelling of 1300444065 in words is "one billion, three hundred million, four hundred forty-four thousand, sixty-five".

Divisors: 1 3 5 9 15 27 45 81 135 233 405 699 1165 2097 3495 6291 10485 13781 18873 31455 41343 68905 94365 124029 206715 372087 620145 1116261 1860435 3210973 5581305 9632919 16054865 28898757 48164595 86696271 144493785 260088813 433481355 1300444065