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149056 = 2617137
BaseRepresentation
bin100100011001000000
321120110121
4210121000
514232211
63110024
71160365
oct443100
9246417
10149056
11a1a96
1272314
1352acb
143c46c
152e271
hex24640

149056 has 28 divisors (see below), whose sum is σ = 315468. Its totient is φ = 69632.

The previous prime is 149053. The next prime is 149057. The reversal of 149056 is 650941.

Adding to 149056 its reverse (650941), we get a palindrome (799997).

It can be written as a sum of positive squares in 2 ways, for example, as 102400 + 46656 = 320^2 + 216^2 .

It is a super-2 number, since 2×1490562 = 44435382272, which contains 22 as substring.

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

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 149056.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1020 + ... + 1156.

2149056 is an apocalyptic number.

149056 is a gapful number since it is divisible by the number (16) 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 149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157734).

149056 is an abundant number, since it is smaller than the sum of its proper divisors (166412).

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

149056 is a wasteful number, since it uses less digits than its factorization.

149056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 149056 is about 386.0777123844. The cubic root of 149056 is about 53.0212327410.

The spelling of 149056 in words is "one hundred forty-nine thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 137 272 274 544 548 1088 1096 2192 2329 4384 4658 8768 9316 18632 37264 74528 149056