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144960660 = 223251361949
BaseRepresentation
bin10001010001111…
…10110010010100
3101002202202122100
420220332302110
5244102220120
622215002100
73410100555
oct1050766224
9332682570
10144960660
11749100a9
1240669330
1324056250
141537632c
15cad6490
hex8a3ec94

144960660 has 72 divisors (see below), whose sum is σ = 473545800. Its totient is φ = 35682048.

The previous prime is 144960631. The next prime is 144960661. The reversal of 144960660 is 66069441.

144960660 is a `hidden beast` number, since 1 + 4 + 49 + 606 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4822416 + 140138244 = 2196^2 + 11838^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144960661) 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 23 ways as a sum of consecutive naturals, for example, 28635 + ... + 33314.

It is an arithmetic number, because the mean of its divisors is an integer number (6577025).

Almost surely, 2144960660 is an apocalyptic number.

144960660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144960660 is an abundant number, since it is smaller than the sum of its proper divisors (328585140).

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

144960660 is a wasteful number, since it uses less digits than its factorization.

144960660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61977 (or 61972 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 144960660 is about 12039.9609633919. The cubic root of 144960660 is about 525.3112711939.

The spelling of 144960660 in words is "one hundred forty-four million, nine hundred sixty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 61949 123898 185847 247796 309745 371694 557541 619490 743388 805337 929235 1115082 1238980 1610674 1858470 2230164 2416011 2787705 3221348 3716940 4026685 4832022 5575410 7248033 8053370 9664044 11150820 12080055 14496066 16106740 24160110 28992132 36240165 48320220 72480330 144960660