Search a number
-
+
203143680 = 293352939
BaseRepresentation
bin11000001101110…
…11101000000000
3112011020202202000
430012323220000
5404001044210
632054024000
75014456425
oct1406735000
9464222660
10203143680
11a473a943
1258048000
133311817c
141cd9dd4c
1512c7aac0
hexc1bba00

203143680 has 160 divisors (see below), whose sum is σ = 721828800. Its totient is φ = 54153216.

The previous prime is 203143663. The next prime is 203143723. The reversal of 203143680 is 86341302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 67651 + ... + 70589.

It is an arithmetic number, because the mean of its divisors is an integer number (4511430).

Almost surely, 2203143680 is an apocalyptic number.

203143680 is a gapful number since it is divisible by the number (20) 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 203143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360914400).

203143680 is an abundant number, since it is smaller than the sum of its proper divisors (518685120).

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

203143680 is an equidigital number, since it uses as much as digits as its factorization.

203143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 203143680 is about 14252.8481364252. The cubic root of 203143680 is about 587.8516910422.

Adding to 203143680 its reverse (86341302), we get a palindrome (289484982).

The spelling of 203143680 in words is "two hundred three million, one hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 2939 3456 3840 4320 4608 5760 5878 6912 7680 8640 8817 11520 11756 13824 14695 17280 17634 23040 23512 26451 29390 34560 35268 44085 47024 52902 58780 69120 70536 79353 88170 94048 105804 117560 132255 141072 158706 176340 188096 211608 235120 264510 282144 317412 352680 376192 396765 423216 470240 529020 564288 634824 705360 752384 793530 846432 940480 1058040 1128576 1269648 1410720 1504768 1587060 1692864 1880960 2116080 2257152 2539296 2821440 3174120 3385728 3761920 4232160 4514304 5078592 5642880 6348240 6771456 7523840 8464320 10157184 11285760 12696480 13542912 16928640 20314368 22571520 25392960 33857280 40628736 50785920 67714560 101571840 203143680