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149310 = 2335779
BaseRepresentation
bin100100011100111110
321120211000
4210130332
514234220
63111130
71161210
oct443476
9246730
10149310
11a21a7
12724a6
1352c65
143c5b0
152e390
hex2473e

149310 has 64 divisors (see below), whose sum is σ = 460800. Its totient is φ = 33696.

The previous prime is 149309. The next prime is 149323. The reversal of 149310 is 13941.

It is a super-2 number, since 2×1493102 = 44586952200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

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 149310.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1851 + ... + 1929.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2149310 is an apocalyptic number.

149310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230400).

149310 is an abundant number, since it is smaller than the sum of its proper divisors (311490).

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

149310 is a wasteful number, since it uses less digits than its factorization.

149310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 149310 is about 386.4065216841. The cubic root of 149310 is about 53.0513327272.

The spelling of 149310 in words is "one hundred forty-nine thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 79 90 105 126 135 158 189 210 237 270 315 378 395 474 553 630 711 790 945 1106 1185 1422 1659 1890 2133 2370 2765 3318 3555 4266 4977 5530 7110 8295 9954 10665 14931 16590 21330 24885 29862 49770 74655 149310