Search a number
-
+
149988 = 22329431
BaseRepresentation
bin100100100111100100
321121202010
4210213210
514244423
63114220
71163166
oct444744
9247663
10149988
11a2763
1272970
1353367
143c936
152e693
hex249e4

149988 has 24 divisors (see below), whose sum is σ = 362880. Its totient is φ = 48160.

The previous prime is 149971. The next prime is 149993. The reversal of 149988 is 889941.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 149988.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 133 + ... + 563.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2149988 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 149988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

149988 is an abundant number, since it is smaller than the sum of its proper divisors (212892).

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

149988 is a wasteful number, since it uses less digits than its factorization.

149988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 465 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The square root of 149988 is about 387.2828423775. The cubic root of 149988 is about 53.1315115433.

The spelling of 149988 in words is "one hundred forty-nine thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 431 862 1293 1724 2586 5172 12499 24998 37497 49996 74994 149988