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149940 = 223257217
BaseRepresentation
bin100100100110110100
321121200100
4210212310
514244230
63114100
71163100
oct444664
9247610
10149940
11a271a
1272930
135332b
143c900
152e660
hex249b4

149940 has 108 divisors (see below), whose sum is σ = 560196. Its totient is φ = 32256.

The previous prime is 149939. The next prime is 149953. The reversal of 149940 is 49941.

It can be written as a sum of positive squares in 2 ways, for example, as 86436 + 63504 = 294^2 + 252^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8812 + ... + 8828.

It is an arithmetic number, because the mean of its divisors is an integer number (5187).

2149940 is an apocalyptic number.

149940 is a gapful number since it is divisible by the number (10) 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 149940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280098).

149940 is an abundant number, since it is smaller than the sum of its proper divisors (410256).

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

149940 is a wasteful number, since it uses less digits than its factorization.

149940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 149940 is about 387.2208672063. The cubic root of 149940 is about 53.1258431239.

Subtracting from 149940 its reverse (49941), we obtain a palindrome (99999).

It can be divided in two parts, 149 and 940, that added together give a square (1089 = 332).

The spelling of 149940 in words is "one hundred forty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 49 51 60 63 68 70 84 85 90 98 102 105 119 126 140 147 153 170 180 196 204 210 238 245 252 255 294 306 315 340 357 420 441 476 490 510 588 595 612 630 714 735 765 833 882 980 1020 1071 1190 1260 1428 1470 1530 1666 1764 1785 2142 2205 2380 2499 2940 3060 3332 3570 4165 4284 4410 4998 5355 7140 7497 8330 8820 9996 10710 12495 14994 16660 21420 24990 29988 37485 49980 74970 149940