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144261660 = 223517294877
BaseRepresentation
bin10001001100101…
…00001000011100
3101001110020210110
420212110020130
5243412333120
622152010020
73401126634
oct1046241034
9331406713
10144261660
1174482a14
1240390910
1323b7003a
14152336c4
15c9e92e0
hex899421c

144261660 has 96 divisors (see below), whose sum is σ = 442532160. Its totient is φ = 34951168.

The previous prime is 144261641. The next prime is 144261671. The reversal of 144261660 is 66162441.

It is a super-2 number, since 2×1442616602 = 41622853091911200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27142 + ... + 32018.

It is an arithmetic number, because the mean of its divisors is an integer number (4609710).

Almost surely, 2144261660 is an apocalyptic number.

144261660 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 144261660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221266080).

144261660 is an abundant number, since it is smaller than the sum of its proper divisors (298270500).

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

144261660 is a wasteful number, since it uses less digits than its factorization.

144261660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4935 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 144261660 is about 12010.8975518069. The cubic root of 144261660 is about 524.4655604442.

The spelling of 144261660 in words is "one hundred forty-four million, two hundred sixty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 85 87 102 116 145 170 174 204 255 290 340 348 435 493 510 580 870 986 1020 1479 1740 1972 2465 2958 4877 4930 5916 7395 9754 9860 14631 14790 19508 24385 29262 29580 48770 58524 73155 82909 97540 141433 146310 165818 248727 282866 292620 331636 414545 424299 497454 565732 707165 829090 848598 994908 1243635 1414330 1658180 1697196 2121495 2404361 2487270 2828660 4242990 4808722 4974540 7213083 8485980 9617444 12021805 14426166 24043610 28852332 36065415 48087220 72130830 144261660