Search a number
-
+
15134112 = 253277507
BaseRepresentation
bin111001101110…
…110110100000
31001110220002200
4321232312200
512333242422
61300213200
7242431530
oct71566640
931426080
1015134112
1185a7534
12509a200
13319b6c6
14201d4c0
1514de2ac
hexe6eda0

15134112 has 72 divisors (see below), whose sum is σ = 49192416. Its totient is φ = 4323456.

The previous prime is 15134101. The next prime is 15134113. The reversal of 15134112 is 21143151.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (15134113) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1738 + ... + 5769.

It is an arithmetic number, because the mean of its divisors is an integer number (683228).

Almost surely, 215134112 is an apocalyptic number.

15134112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15134112 is an abundant number, since it is smaller than the sum of its proper divisors (34058304).

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

15134112 is a wasteful number, since it uses less digits than its factorization.

15134112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7530 (or 7519 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 15134112 is about 3890.2586032294. The cubic root of 15134112 is about 247.3540247259.

Adding to 15134112 its reverse (21143151), we get a palindrome (36277263).

It can be divided in two parts, 1513 and 4112, that added together give a square (5625 = 752).

The spelling of 15134112 in words is "fifteen million, one hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 7507 15014 22521 30028 45042 52549 60056 67563 90084 105098 120112 135126 157647 180168 210196 240224 270252 315294 360336 420392 472941 540504 630588 720672 840784 945882 1081008 1261176 1681568 1891764 2162016 2522352 3783528 5044704 7567056 15134112