Search a number
-
+
144708080 = 24511172569
BaseRepresentation
bin10001010000000…
…01000111110000
3101002021221011112
420220001013300
5244021124310
622205332452
73404666306
oct1050010760
9332257145
10144708080
1174758360
1240567128
1323c982aa
141530c276
15ca86705
hex8a011f0

144708080 has 120 divisors (see below), whose sum is σ = 390577680. Its totient is φ = 49438720.

The previous prime is 144708059. The next prime is 144708089. The reversal of 144708080 is 80807441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144708089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254036 + ... + 254604.

It is an arithmetic number, because the mean of its divisors is an integer number (3254814).

Almost surely, 2144708080 is an apocalyptic number.

144708080 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 144708080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195288840).

144708080 is an abundant number, since it is smaller than the sum of its proper divisors (245869600).

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

144708080 is a wasteful number, since it uses less digits than its factorization.

144708080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 144708080 is about 12029.4671536191. The cubic root of 144708080 is about 525.0059923730.

The spelling of 144708080 in words is "one hundred forty-four million, seven hundred eight thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 289 340 374 440 569 578 680 748 880 935 1138 1156 1360 1445 1496 1870 2276 2312 2845 2890 2992 3179 3740 4552 4624 5690 5780 6259 6358 7480 9104 9673 11380 11560 12518 12716 14960 15895 19346 22760 23120 25036 25432 31295 31790 38692 45520 48365 50072 50864 62590 63580 77384 96730 100144 106403 125180 127160 154768 164441 193460 212806 250360 254320 328882 386920 425612 500720 532015 657764 773840 822205 851224 1064030 1315528 1644410 1702448 1808851 2128060 2631056 3288820 3617702 4256120 6577640 7235404 8512240 9044255 13155280 14470808 18088510 28941616 36177020 72354040 144708080