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144096 = 2531979
BaseRepresentation
bin100011001011100000
321022122220
4203023200
514102341
63031040
71140051
oct431340
9238586
10144096
1199297
126b480
1350784
143a728
152ca66
hex232e0

144096 has 48 divisors (see below), whose sum is σ = 403200. Its totient is φ = 44928.

The previous prime is 144073. The next prime is 144103. The reversal of 144096 is 690441.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1785 + ... + 1863.

It is an arithmetic number, because the mean of its divisors is an integer number (8400).

2144096 is an apocalyptic number.

144096 is a gapful number since it is divisible by the number (16) 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 144096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201600).

144096 is an abundant number, since it is smaller than the sum of its proper divisors (259104).

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

144096 is a wasteful number, since it uses less digits than its factorization.

144096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 103 counting only the distinct ones).

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

The square root of 144096 is about 379.5997892518. The cubic root of 144096 is about 52.4264730363.

The spelling of 144096 in words is "one hundred forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 79 96 114 152 158 228 237 304 316 456 474 608 632 912 948 1264 1501 1824 1896 2528 3002 3792 4503 6004 7584 9006 12008 18012 24016 36024 48032 72048 144096