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144160 = 2551753
BaseRepresentation
bin100011001100100000
321022202021
4203030200
514103120
63031224
71140202
oct431440
9238667
10144160
1199345
126b514
1350803
143a772
152caaa
hex23320

144160 has 48 divisors (see below), whose sum is σ = 367416. Its totient is φ = 53248.

The previous prime is 144139. The next prime is 144161. The reversal of 144160 is 61441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 138384 + 5776 = 372^2 + 76^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (144161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2694 + ... + 2746.

2144160 is an apocalyptic number.

144160 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 144160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183708).

144160 is an abundant number, since it is smaller than the sum of its proper divisors (223256).

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

144160 is a wasteful number, since it uses less digits than its factorization.

144160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 144160 is about 379.6840792027. The cubic root of 144160 is about 52.4342335979.

The spelling of 144160 in words is "one hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 53 68 80 85 106 136 160 170 212 265 272 340 424 530 544 680 848 901 1060 1360 1696 1802 2120 2720 3604 4240 4505 7208 8480 9010 14416 18020 28832 36040 72080 144160