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144100 = 225211131
BaseRepresentation
bin100011001011100100
321022200001
4203023210
514102400
63031044
71140055
oct431344
9238601
10144100
11992a0
126b484
1350788
143a72c
152ca6a
hex232e4

144100 has 36 divisors (see below), whose sum is σ = 343728. Its totient is φ = 52000.

The previous prime is 144073. The next prime is 144103. The reversal of 144100 is 1441.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (144103) by changing a digit.

144100 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 11 ways as a sum of consecutive naturals, for example, 1035 + ... + 1165.

It is an arithmetic number, because the mean of its divisors is an integer number (9548).

2144100 is an apocalyptic number.

144100 is a gapful number since it is divisible by the number (10) 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 144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171864).

144100 is an abundant number, since it is smaller than the sum of its proper divisors (199628).

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

144100 is a wasteful number, since it uses less digits than its factorization.

144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 144100 is about 379.6050579220. The cubic root of 144100 is about 52.4269581387.

Adding to 144100 its reverse (1441), we get a palindrome (145541).

Multiplying 144100 by its reverse (1441), we get a square (207648100 = 144102).

144100 divided by its reverse (1441) gives a square (100 = 102).

It can be divided in two parts, 14 and 4100, that added together give a palindrome (4114).

The spelling of 144100 in words is "one hundred forty-four thousand, one hundred", and thus it is an iban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 131 220 262 275 524 550 655 1100 1310 1441 2620 2882 3275 5764 6550 7205 13100 14410 28820 36025 72050 144100