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149296 = 2473143
BaseRepresentation
bin100100011100110000
321120210111
4210130300
514234141
63111104
71161160
oct443460
9246714
10149296
11a2194
1272494
1352c54
143c5a0
152e381
hex24730

149296 has 40 divisors (see below), whose sum is σ = 349184. Its totient is φ = 60480.

The previous prime is 149287. The next prime is 149297. The reversal of 149296 is 692941.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 (149297) by changing a digit.

149296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 3451 + ... + 3493.

2149296 is an apocalyptic number.

149296 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 149296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174592).

149296 is an abundant number, since it is smaller than the sum of its proper divisors (199888).

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

149296 is a wasteful number, since it uses less digits than its factorization.

149296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 83 counting only the distinct ones).

The product of its digits is 3888, while the sum is 31.

The square root of 149296 is about 386.3884056232. The cubic root of 149296 is about 53.0496745621.

The spelling of 149296 in words is "one hundred forty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 43 56 62 86 112 124 172 217 248 301 344 434 496 602 688 868 1204 1333 1736 2408 2666 3472 4816 5332 9331 10664 18662 21328 37324 74648 149296