Search a number
-
+
1138432095 = 325374315901
BaseRepresentation
bin100001111011011…
…0001100001011111
32221100011100020200
41003312301201133
54312414311340
6304544314543
740132341003
oct10366614137
92840140220
101138432095
11534684979
12279312a53
13151b18978
14ab2a4703
1569e28330
hex43db185f

1138432095 has 48 divisors (see below), whose sum is σ = 2073875232. Its totient is φ = 576979200.

The previous prime is 1138432093. The next prime is 1138432111. The reversal of 1138432095 is 5902348311.

1138432095 is a `hidden beast` number, since 1 + 138 + 432 + 0 + 95 = 666.

It is not a de Polignac number, because 1138432095 - 21 = 1138432093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138432093) 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 47 ways as a sum of consecutive naturals, for example, 63645 + ... + 79545.

It is an arithmetic number, because the mean of its divisors is an integer number (43205734).

Almost surely, 21138432095 is an apocalyptic number.

1138432095 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1138432095 is a deficient number, since it is larger than the sum of its proper divisors (935443137).

1138432095 is a wasteful number, since it uses less digits than its factorization.

1138432095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15992 (or 15989 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1138432095 is about 33740.6593741142. The cubic root of 1138432095 is about 1044.1647882523.

The spelling of 1138432095 in words is "one billion, one hundred thirty-eight million, four hundred thirty-two thousand, ninety-five".

Divisors: 1 3 5 9 15 37 43 45 111 129 185 215 333 387 555 645 1591 1665 1935 4773 7955 14319 15901 23865 47703 71595 79505 143109 238515 588337 683743 715545 1765011 2051229 2941685 3418715 5295033 6153687 8825055 10256145 25298491 26475165 30768435 75895473 126492455 227686419 379477365 1138432095