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144960 = 2635151
BaseRepresentation
bin100011011001000000
321100211220
4203121000
514114320
63035040
71142424
oct433100
9240756
10144960
1199a02
126ba80
1350c9a
143ab84
152ce40
hex23640

144960 has 56 divisors (see below), whose sum is σ = 463296. Its totient is φ = 38400.

The previous prime is 144941. The next prime is 144961. The reversal of 144960 is 69441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 144960.

It is not an unprimeable number, because it can be changed into a prime (144961) 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, 885 + ... + 1035.

2144960 is an apocalyptic number.

144960 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 144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231648).

144960 is an abundant number, since it is smaller than the sum of its proper divisors (318336).

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

144960 is a wasteful number, since it uses less digits than its factorization.

144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 144960 is about 380.7361290973. The cubic root of 144960 is about 52.5310473952.

The spelling of 144960 in words is "one hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 151 160 192 240 302 320 453 480 604 755 906 960 1208 1510 1812 2265 2416 3020 3624 4530 4832 6040 7248 9060 9664 12080 14496 18120 24160 28992 36240 48320 72480 144960