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149364 = 2234461
BaseRepresentation
bin100100011101110100
321120220000
4210131310
514234424
63111300
71161315
oct443564
9246800
10149364
11a2246
1272530
1352ca7
143c60c
152e3c9
hex24774

149364 has 30 divisors (see below), whose sum is σ = 391314. Its totient is φ = 49680.

The previous prime is 149351. The next prime is 149371. The reversal of 149364 is 463941.

149364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 116964 + 32400 = 342^2 + 180^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

149364 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 94 + ... + 554.

149364 is a Friedman number, since it can be written as 4149*36, using all its digits and the basic arithmetic operations.

2149364 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 149364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195657).

149364 is an abundant number, since it is smaller than the sum of its proper divisors (241950).

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

149364 is a wasteful number, since it uses less digits than its factorization.

149364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 466 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 149364 is about 386.4763899645. The cubic root of 149364 is about 53.0577275359.

The spelling of 149364 in words is "one hundred forty-nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 461 922 1383 1844 2766 4149 5532 8298 12447 16596 24894 37341 49788 74682 149364