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149380 = 22571197
BaseRepresentation
bin100100011110000100
321120220121
4210132010
514240010
63111324
71161340
oct443604
9246817
10149380
11a2260
1272544
1352cba
143c620
152e3da
hex24784

149380 has 48 divisors (see below), whose sum is σ = 395136. Its totient is φ = 46080.

The previous prime is 149377. The next prime is 149381. The reversal of 149380 is 83941.

It is not an unprimeable number, because it can be changed into a prime (149381) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1492 + ... + 1588.

It is an arithmetic number, because the mean of its divisors is an integer number (8232).

2149380 is an apocalyptic number.

149380 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 149380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197568).

149380 is an abundant number, since it is smaller than the sum of its proper divisors (245756).

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

149380 is a wasteful number, since it uses less digits than its factorization.

149380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 149380 is about 386.4970892517. The cubic root of 149380 is about 53.0596219981.

It can be divided in two parts, 149 and 380, that added together give a square (529 = 232).

The spelling of 149380 in words is "one hundred forty-nine thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 97 110 140 154 194 220 308 385 388 485 679 770 970 1067 1358 1540 1940 2134 2716 3395 4268 5335 6790 7469 10670 13580 14938 21340 29876 37345 74690 149380