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149460 = 22354753
BaseRepresentation
bin100100011111010100
321121000120
4210133110
514240320
63111540
71161513
oct443724
9247016
10149460
11a2323
12725b0
135304c
143c67a
152e440
hex247d4

149460 has 48 divisors (see below), whose sum is σ = 435456. Its totient is φ = 38272.

The previous prime is 149459. The next prime is 149489. The reversal of 149460 is 64941.

149460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 149460.

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 149460.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2794 + ... + 2846.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2149460 is an apocalyptic number.

149460 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 149460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728).

149460 is an abundant number, since it is smaller than the sum of its proper divisors (285996).

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

149460 is a wasteful number, since it uses less digits than its factorization.

149460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 149460 is about 386.6005690632. The cubic root of 149460 is about 53.0690922802.

The spelling of 149460 in words is "one hundred forty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 53 60 94 106 141 159 188 212 235 265 282 318 470 530 564 636 705 795 940 1060 1410 1590 2491 2820 3180 4982 7473 9964 12455 14946 24910 29892 37365 49820 74730 149460