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149976 = 23322083
BaseRepresentation
bin100100100111011000
321121201200
4210213120
514244401
63114200
71163151
oct444730
9247650
10149976
11a2752
1272960
1353358
143c928
152e686
hex249d8

149976 has 24 divisors (see below), whose sum is σ = 406380. Its totient is φ = 49968.

The previous prime is 149971. The next prime is 149993. The reversal of 149976 is 679941.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 149976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149971) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 970 + ... + 1113.

2149976 is an apocalyptic number.

It is an amenable number.

149976 is an abundant number, since it is smaller than the sum of its proper divisors (256404).

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

149976 is a wasteful number, since it uses less digits than its factorization.

149976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2088 counting only the distinct ones).

The product of its digits is 13608, while the sum is 36.

The square root of 149976 is about 387.2673495145. The cubic root of 149976 is about 53.1300945518.

The spelling of 149976 in words is "one hundred forty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2083 4166 6249 8332 12498 16664 18747 24996 37494 49992 74988 149976