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144872 = 23713199
BaseRepresentation
bin100011010111101000
321100201122
4203113220
514113442
63034412
71142240
oct432750
9240648
10144872
1199932
126ba08
1350c30
143ab20
152cdd2
hex235e8

144872 has 32 divisors (see below), whose sum is σ = 336000. Its totient is φ = 57024.

The previous prime is 144847. The next prime is 144883. The reversal of 144872 is 278441.

144872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

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

It is a nialpdrome in base 11.

It is an unprimeable number.

144872 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 7 ways as a sum of consecutive naturals, for example, 629 + ... + 827.

It is an arithmetic number, because the mean of its divisors is an integer number (10500).

2144872 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 144872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168000).

144872 is an abundant number, since it is smaller than the sum of its proper divisors (191128).

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

144872 is a wasteful number, since it uses less digits than its factorization.

144872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its digits is 1792, while the sum is 26.

The square root of 144872 is about 380.6205459510. The cubic root of 144872 is about 52.5204153406.

The spelling of 144872 in words is "one hundred forty-four thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 199 364 398 728 796 1393 1592 2587 2786 5174 5572 10348 11144 18109 20696 36218 72436 144872