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144780 = 223519127
BaseRepresentation
bin100011010110001100
321100121020
4203112030
514113110
63034140
71142046
oct432614
9240536
10144780
1199859
126b950
1350b8c
143aa96
152cd70
hex2358c

144780 has 48 divisors (see below), whose sum is σ = 430080. Its totient is φ = 36288.

The previous prime is 144779. The next prime is 144791. The reversal of 144780 is 87441.

Added to its reverse (87441) it gives a triangular number (232221 = T681).

It is a super-2 number, since 2×1447802 = 41922496800, which contains 22 as substring.

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 144780.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1077 + ... + 1203.

It is an arithmetic number, because the mean of its divisors is an integer number (8960).

2144780 is an apocalyptic number.

144780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 380×381.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215040).

144780 is an abundant number, since it is smaller than the sum of its proper divisors (285300).

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

144780 is a wasteful number, since it uses less digits than its factorization.

144780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 144780 is about 380.4996714847. The cubic root of 144780 is about 52.5092954063.

Adding to 144780 its reverse (87441), we get a triangular number (232221 = T681).

The spelling of 144780 in words is "one hundred forty-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 127 190 228 254 285 380 381 508 570 635 762 1140 1270 1524 1905 2413 2540 3810 4826 7239 7620 9652 12065 14478 24130 28956 36195 48260 72390 144780