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144688680 = 2334544657
BaseRepresentation
bin10001001111111…
…00011000101000
3101002020221120000
420213330120220
5244020014210
622205103000
73404555613
oct1047743050
9332227500
10144688680
1174744824
1240557a60
1323c8c506
141530517a
15ca80ac0
hex89fc628

144688680 has 80 divisors (see below), whose sum is σ = 486325620. Its totient is φ = 38582784.

The previous prime is 144688669. The next prime is 144688681. The reversal of 144688680 is 86886441.

It can be written as a sum of positive squares in 2 ways, for example, as 144144036 + 544644 = 12006^2 + 738^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (144688681) 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 19 ways as a sum of consecutive naturals, for example, 19089 + ... + 25568.

Almost surely, 2144688680 is an apocalyptic number.

144688680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144688680 is an abundant number, since it is smaller than the sum of its proper divisors (341636940).

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

144688680 is a wasteful number, since it uses less digits than its factorization.

144688680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44680 (or 44667 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 144688680 is about 12028.6607733363. The cubic root of 144688680 is about 524.9825300309.

The spelling of 144688680 in words is "one hundred forty-four million, six hundred eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 44657 89314 133971 178628 223285 267942 357256 401913 446570 535884 669855 803826 893140 1071768 1205739 1339710 1607652 1786280 2009565 2411478 2679420 3215304 3617217 4019130 4822956 5358840 6028695 7234434 8038260 9645912 12057390 14468868 16076520 18086085 24114780 28937736 36172170 48229560 72344340 144688680