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147924 = 22327587
BaseRepresentation
bin100100000111010100
321111220200
4210013110
514213144
63100500
71154160
oct440724
9244820
10147924
11a1157
1271730
135243a
143bca0
152dc69
hex241d4

147924 has 36 divisors (see below), whose sum is σ = 428064. Its totient is φ = 42192.

The previous prime is 147919. The next prime is 147937. The reversal of 147924 is 429741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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.

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 11 ways as a sum of consecutive naturals, for example, 42 + ... + 545.

2147924 is an apocalyptic number.

147924 is a gapful number since it is divisible by the number (14) 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 147924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214032).

147924 is an abundant number, since it is smaller than the sum of its proper divisors (280140).

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

147924 is a wasteful number, since it uses less digits than its factorization.

147924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 599 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 147924 is about 384.6088922529. The cubic root of 147924 is about 52.8866689535.

The spelling of 147924 in words is "one hundred forty-seven thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 587 1174 1761 2348 3522 4109 5283 7044 8218 10566 12327 16436 21132 24654 36981 49308 73962 147924