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144132320 = 2552931063
BaseRepresentation
bin10001001011101…
…00100011100000
3101001012200101002
420211310203200
5243344213240
622145131132
73400050563
oct1045644340
9331180332
10144132320
11743a4822
1240329aa8
1323b261c7
14151dc4da
15c9c0d15
hex89748e0

144132320 has 48 divisors (see below), whose sum is σ = 352265760. Its totient is φ = 55663104.

The previous prime is 144132311. The next prime is 144132323. The reversal of 144132320 is 23231441.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 144132292 and 144132301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144132323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10892 + ... + 20171.

It is an arithmetic number, because the mean of its divisors is an integer number (7338870).

Almost surely, 2144132320 is an apocalyptic number.

144132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144132320 is an abundant number, since it is smaller than the sum of its proper divisors (208133440).

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

144132320 is a wasteful number, since it uses less digits than its factorization.

144132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31107 (or 31099 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 144132320 is about 12005.5120673797. The cubic root of 144132320 is about 524.3087743691.

Adding to 144132320 its reverse (23231441), we get a palindrome (167363761).

The spelling of 144132320 in words is "one hundred forty-four million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 31063 62126 124252 155315 248504 310630 497008 621260 900827 994016 1242520 1801654 2485040 3603308 4504135 4970080 7206616 9008270 14413232 18016540 28826464 36033080 72066160 144132320