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145440 = 25325101
BaseRepresentation
bin100011100000100000
321101111200
4203200200
514123230
63041200
71144011
oct434040
9241450
10145440
119a2a9
1270200
1351279
143b008
152d160
hex23820

145440 has 72 divisors (see below), whose sum is σ = 501228. Its totient is φ = 38400.

The previous prime is 145433. The next prime is 145441. The reversal of 145440 is 44541.

145440 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 138384 + 7056 = 372^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 145440.

It is not an unprimeable number, because it can be changed into a prime (145441) by changing a digit.

145440 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1390 + ... + 1490.

2145440 is an apocalyptic number.

145440 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 145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250614).

145440 is an abundant number, since it is smaller than the sum of its proper divisors (355788).

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

145440 is a wasteful number, since it uses less digits than its factorization.

145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 145440 is about 381.3659659697. The cubic root of 145440 is about 52.5889648042.

Adding to 145440 its reverse (44541), we get a palindrome (189981).

It can be divided in two parts, 145 and 440, that added together give a palindrome (585).

The spelling of 145440 in words is "one hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 101 120 144 160 180 202 240 288 303 360 404 480 505 606 720 808 909 1010 1212 1440 1515 1616 1818 2020 2424 3030 3232 3636 4040 4545 4848 6060 7272 8080 9090 9696 12120 14544 16160 18180 24240 29088 36360 48480 72720 145440