Search a number
-
+
1128203280 = 243251982471
BaseRepresentation
bin100001100111111…
…0000010000010000
32220121220122221200
41003033300100100
54302310001110
6303541151200
736646366251
oct10317602020
92817818850
101128203280
11529928906
122759bb500
1314c976c09
14a9ba0b28
15690a76c0
hex433f0410

1128203280 has 120 divisors (see below), whose sum is σ = 3988345920. Its totient is φ = 285016320.

The previous prime is 1128203267. The next prime is 1128203281. The reversal of 1128203280 is 823028211.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (1128203281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27556 + ... + 54915.

It is an arithmetic number, because the mean of its divisors is an integer number (33236216).

Almost surely, 21128203280 is an apocalyptic number.

1128203280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1128203280 is an abundant number, since it is smaller than the sum of its proper divisors (2860142640).

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

1128203280 is a wasteful number, since it uses less digits than its factorization.

1128203280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82509 (or 82500 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1128203280 is about 33588.7373981220. The cubic root of 1128203280 is about 1041.0281006846.

The spelling of 1128203280 in words is "one billion, one hundred twenty-eight million, two hundred three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 13680 82471 164942 247413 329884 412355 494826 659768 742239 824710 989652 1237065 1319536 1484478 1566949 1649420 1979304 2474130 2968956 3133898 3298840 3711195 3958608 4700847 4948260 5937912 6267796 6597680 7422390 7834745 9401694 9896520 11875824 12535592 14102541 14844780 15669490 18803388 19793040 23504235 25071184 28205082 29689560 31338980 37606776 47008470 56410164 59379120 62677960 70512705 75213552 94016940 112820328 125355920 141025410 188033880 225640656 282050820 376067760 564101640 1128203280