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144984 = 2337863
BaseRepresentation
bin100011011001011000
321100212210
4203121120
514114414
63035120
71142460
oct433130
9240783
10144984
1199a24
126baa0
1350cb8
143aba0
152ce59
hex23658

144984 has 32 divisors (see below), whose sum is σ = 414720. Its totient is φ = 41376.

The previous prime is 144983. The next prime is 145007. The reversal of 144984 is 489441.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 144984.

It is not an unprimeable number, because it can be changed into a prime (144983) 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, 264 + ... + 599.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

2144984 is an apocalyptic number.

144984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144984 is an abundant number, since it is smaller than the sum of its proper divisors (269736).

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

144984 is a wasteful number, since it uses less digits than its factorization.

144984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 875 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 144984 is about 380.7676456843. The cubic root of 144984 is about 52.5339462997.

It can be divided in two parts, 144 and 984, that added together give a triangular number (1128 = T47).

The spelling of 144984 in words is "one hundred forty-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 863 1726 2589 3452 5178 6041 6904 10356 12082 18123 20712 24164 36246 48328 72492 144984