Search a number
-
+
1258147137 = 313228114143
BaseRepresentation
bin100101011111101…
…1100110101000001
310020200102111102010
41022333130311001
510034041202022
6324502243133
743115034312
oct11277346501
93220374363
101258147137
11596211625
122b14264a9
13170872c80
14bd148609
15756c450c
hex4afdcd41

1258147137 has 16 divisors (see below), whose sum is σ = 1807490048. Its totient is φ = 773850240.

The previous prime is 1258147123. The next prime is 1258147139. The reversal of 1258147137 is 7317418521.

It is a happy number.

It is not a de Polignac number, because 1258147137 - 28 = 1258146881 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1258147095 and 1258147104.

It is not an unprimeable number, because it can be changed into a prime (1258147139) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 81888 + ... + 96030.

It is an arithmetic number, because the mean of its divisors is an integer number (112968128).

Almost surely, 21258147137 is an apocalyptic number.

It is an amenable number.

1258147137 is a deficient number, since it is larger than the sum of its proper divisors (549342911).

1258147137 is a wasteful number, since it uses less digits than its factorization.

1258147137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16440.

The product of its digits is 47040, while the sum is 39.

The square root of 1258147137 is about 35470.3698458305. The cubic root of 1258147137 is about 1079.5526087605.

The spelling of 1258147137 in words is "one billion, two hundred fifty-eight million, one hundred forty-seven thousand, one hundred thirty-seven".

Divisors: 1 3 13 39 2281 6843 14143 29653 42429 88959 183859 551577 32260183 96780549 419382379 1258147137