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144585860 = 22531613823
BaseRepresentation
bin10001001111000…
…11010010000100
3101002001201111212
420213203102010
5244003221420
622202550552
73403650056
oct1047432204
9332051455
10144585860
1174684551
1240508458
1323c54783
14152b98d6
15ca603c5
hex89e3484

144585860 has 48 divisors (see below), whose sum is σ = 318646272. Its totient is φ = 55036800.

The previous prime is 144585821. The next prime is 144585863. The reversal of 144585860 is 68585441.

It is not an unprimeable number, because it can be changed into a prime (144585863) 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 15 ways as a sum of consecutive naturals, for example, 35909 + ... + 39731.

It is an arithmetic number, because the mean of its divisors is an integer number (6638464).

Almost surely, 2144585860 is an apocalyptic number.

144585860 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 144585860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159323136).

144585860 is an abundant number, since it is smaller than the sum of its proper divisors (174060412).

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

144585860 is a wasteful number, since it uses less digits than its factorization.

144585860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3924 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The square root of 144585860 is about 12024.3860550134. The cubic root of 144585860 is about 524.8581445916.

The spelling of 144585860 in words is "one hundred forty-four million, five hundred eighty-five thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 31 61 62 122 124 155 244 305 310 610 620 1220 1891 3782 3823 7564 7646 9455 15292 18910 19115 37820 38230 76460 118513 233203 237026 466406 474052 592565 932812 1166015 1185130 2332030 2370260 4664060 7229293 14458586 28917172 36146465 72292930 144585860