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149328 = 24321761
BaseRepresentation
bin100100011101010000
321120211200
4210131100
514234303
63111200
71161234
oct443520
9246750
10149328
11a2213
1272500
1352c7a
143c5c4
152e3a3
hex24750

149328 has 60 divisors (see below), whose sum is σ = 449748. Its totient is φ = 46080.

The previous prime is 149323. The next prime is 149333. The reversal of 149328 is 823941.

It can be divided in two parts, 1493 and 28, that added together give a square (1521 = 392).

It is an interprime number because it is at equal distance from previous prime (149323) and next prime (149333).

It can be written as a sum of positive squares in 2 ways, for example, as 51984 + 97344 = 228^2 + 312^2 .

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2418 + ... + 2478.

2149328 is an apocalyptic number.

149328 is a gapful number since it is divisible by the number (18) 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 149328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224874).

149328 is an abundant number, since it is smaller than the sum of its proper divisors (300420).

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

149328 is a wasteful number, since it uses less digits than its factorization.

149328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 83 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 149328 is about 386.4298125145. The cubic root of 149328 is about 53.0534645014.

The spelling of 149328 in words is "one hundred forty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 61 68 72 102 122 136 144 153 183 204 244 272 306 366 408 488 549 612 732 816 976 1037 1098 1224 1464 2074 2196 2448 2928 3111 4148 4392 6222 8296 8784 9333 12444 16592 18666 24888 37332 49776 74664 149328