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144004 = 22737139
BaseRepresentation
bin100011001010000100
321022112111
4203022010
514102004
63030404
71136560
oct431204
9238474
10144004
1199213
126b404
1350713
143a6a0
152ca04
hex23284

144004 has 24 divisors (see below), whose sum is σ = 297920. Its totient is φ = 59616.

The previous prime is 143999. The next prime is 144013. The reversal of 144004 is 400441.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 967 + ... + 1105.

2144004 is an apocalyptic number.

144004 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 144004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148960).

144004 is an abundant number, since it is smaller than the sum of its proper divisors (153916).

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

144004 is a wasteful number, since it uses less digits than its factorization.

144004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 144004 is about 379.4785896464. The cubic root of 144004 is about 52.4153132022.

Adding to 144004 its reverse (400441), we get a palindrome (544445).

It can be divided in two parts, 14400 and 4, that multiplied together give a square (57600 = 2402).

The spelling of 144004 in words is "one hundred forty-four thousand, four", and thus it is an iban number.

Divisors: 1 2 4 7 14 28 37 74 139 148 259 278 518 556 973 1036 1946 3892 5143 10286 20572 36001 72002 144004