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149916 = 22313312
BaseRepresentation
bin100100100110011100
321121122110
4210212130
514244131
63114020
71163034
oct444634
9247573
10149916
11a26a8
1272910
1353310
143c8c4
152e646
hex2499c

149916 has 36 divisors (see below), whose sum is σ = 389256. Its totient is φ = 44640.

The previous prime is 149911. The next prime is 149921. The reversal of 149916 is 619941.

It is an interprime number because it is at equal distance from previous prime (149911) and next prime (149921).

It is a plaindrome in base 16.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149911) by changing a digit.

149916 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4821 + ... + 4851.

2149916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194628).

149916 is an abundant number, since it is smaller than the sum of its proper divisors (239340).

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

149916 is a wasteful number, since it uses less digits than its factorization.

149916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 49 counting only the distinct ones).

The product of its digits is 1944, while the sum is 30.

The square root of 149916 is about 387.1898759007. The cubic root of 149916 is about 53.1230084605.

The spelling of 149916 in words is "one hundred forty-nine thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 961 1209 1612 1922 2418 2883 3844 4836 5766 11532 12493 24986 37479 49972 74958 149916