Search a number
-
+
120245040 = 24335179311
BaseRepresentation
bin1110010101011…
…00101100110000
322101021002012000
413022230230300
5221240320130
615533134000
72660031426
oct712545460
9271232160
10120245040
1161969973
123432a300
131bbb1616
1411d81116
15a853260
hex72acb30

120245040 has 160 divisors (see below), whose sum is σ = 417830400. Its totient is φ = 31783680.

The previous prime is 120245033. The next prime is 120245093. The reversal of 120245040 is 40542021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 386485 + ... + 386795.

It is an arithmetic number, because the mean of its divisors is an integer number (2611440).

Almost surely, 2120245040 is an apocalyptic number.

120245040 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 120245040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208915200).

120245040 is an abundant number, since it is smaller than the sum of its proper divisors (297585360).

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

120245040 is a wasteful number, since it uses less digits than its factorization.

120245040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 120245040 is about 10965.6299408652. The cubic root of 120245040 is about 493.5779202727.

Adding to 120245040 its reverse (40542021), we get a palindrome (160787061).

The spelling of 120245040 in words is "one hundred twenty million, two hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 179 180 216 240 270 311 358 360 432 537 540 622 716 720 895 933 1074 1080 1244 1432 1555 1611 1790 1866 2148 2160 2488 2685 2799 2864 3110 3222 3580 3732 4296 4665 4833 4976 5370 5598 6220 6444 7160 7464 8055 8397 8592 9330 9666 10740 11196 12440 12888 13995 14320 14928 16110 16794 18660 19332 21480 22392 24165 24880 25776 27990 32220 33588 37320 38664 41985 42960 44784 48330 55669 55980 64440 67176 74640 77328 83970 96660 111338 111960 128880 134352 167007 167940 193320 222676 223920 278345 334014 335880 386640 445352 501021 556690 668028 671760 835035 890704 1002042 1113380 1336056 1503063 1670070 2004084 2226760 2505105 2672112 3006126 3340140 4008168 4453520 5010210 6012252 6680280 7515315 8016336 10020420 12024504 13360560 15030630 20040840 24049008 30061260 40081680 60122520 120245040