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144659680 = 2551182193
BaseRepresentation
bin10001001111101…
…01010011100000
3101002012110202221
420213311103200
5244013102210
622204320424
73404405224
oct1047652340
9332173687
10144659680
1174724a60
1240543114
1323c7c259
14152d8784
15ca771da
hex89f54e0

144659680 has 48 divisors (see below), whose sum is σ = 372831984. Its totient is φ = 52602880.

The previous prime is 144659657. The next prime is 144659687. The reversal of 144659680 is 86956441.

144659680 = T256 + T257 + ... + T959.

144659680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144659687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39337 + ... + 42856.

It is an arithmetic number, because the mean of its divisors is an integer number (7767333).

Almost surely, 2144659680 is an apocalyptic number.

144659680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144659680 is an abundant number, since it is smaller than the sum of its proper divisors (228172304).

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

144659680 is a wasteful number, since it uses less digits than its factorization.

144659680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82219 (or 82211 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 144659680 is about 12027.4552586987. The cubic root of 144659680 is about 524.9474535466.

The spelling of 144659680 in words is "one hundred forty-four million, six hundred fifty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 82193 164386 328772 410965 657544 821930 904123 1315088 1643860 1808246 2630176 3287720 3616492 4520615 6575440 7232984 9041230 13150880 14465968 18082460 28931936 36164920 72329840 144659680