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149058 = 23272132
BaseRepresentation
bin100100011001000010
321120110200
4210121002
514232213
63110030
71160400
oct443102
9246420
10149058
11a1a98
1272316
1352b00
143c470
152e273
hex24642

149058 has 54 divisors (see below), whose sum is σ = 406809. Its totient is φ = 39312.

The previous prime is 149057. The next prime is 149059. The reversal of 149058 is 850941.

149058 is nontrivially palindromic in base 16.

It is an interprime number because it is at equal distance from previous prime (149057) and next prime (149059).

It can be written as a sum of positive squares in 2 ways, for example, as 127449 + 21609 = 357^2 + 147^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=273.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (149053) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11460 + ... + 11472.

2149058 is an apocalyptic number.

149058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149058

149058 is an abundant number, since it is smaller than the sum of its proper divisors (257751).

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

149058 is a wasteful number, since it uses less digits than its factorization.

149058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 149058 is about 386.0803025279. The cubic root of 149058 is about 53.0214698823.

Adding to 149058 its reverse (850941), we get a palindrome (999999).

The spelling of 149058 in words is "one hundred forty-nine thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 169 182 234 273 294 338 441 507 546 637 819 882 1014 1183 1274 1521 1638 1911 2366 3042 3549 3822 5733 7098 8281 10647 11466 16562 21294 24843 49686 74529 149058