Search a number
-
+
200326140 = 223257374297
BaseRepresentation
bin10111111000010…
…11101111111100
3111221221121210200
423330023233330
5402240414030
631513403500
74651513140
oct1374135774
9457847720
10200326140
11a3095aa3
1257109590
133266c8a1
141c869220
15128c0d60
hexbf0bbfc

200326140 has 144 divisors (see below), whose sum is σ = 713399232. Its totient is φ = 44540928.

The previous prime is 200326111. The next prime is 200326153. The reversal of 200326140 is 41623002.

It is a happy number.

200326140 is a `hidden beast` number, since 20 + 0 + 32 + 614 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44472 + ... + 48768.

Almost surely, 2200326140 is an apocalyptic number.

200326140 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 200326140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356699616).

200326140 is an abundant number, since it is smaller than the sum of its proper divisors (513073092).

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

200326140 is a wasteful number, since it uses less digits than its factorization.

200326140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4356 (or 4351 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 200326140 is about 14153.6617170257. The cubic root of 200326140 is about 585.1212547252.

Adding to 200326140 its reverse (41623002), we get a palindrome (241949142).

The spelling of 200326140 in words is "two hundred million, three hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 37 42 45 60 63 70 74 84 90 105 111 126 140 148 180 185 210 222 252 259 315 333 370 420 444 518 555 630 666 740 777 1036 1110 1260 1295 1332 1554 1665 2220 2331 2590 3108 3330 3885 4297 4662 5180 6660 7770 8594 9324 11655 12891 15540 17188 21485 23310 25782 30079 38673 42970 46620 51564 60158 64455 77346 85940 90237 120316 128910 150395 154692 158989 180474 193365 257820 270711 300790 317978 360948 386730 451185 476967 541422 601580 635956 773460 794945 902370 953934 1082844 1112923 1353555 1430901 1589890 1804740 1907868 2225846 2384835 2707110 2861802 3179780 3338769 4451692 4769670 5414220 5564615 5723604 6677538 7154505 9539340 10016307 11129230 13355076 14309010 16693845 20032614 22258460 28618020 33387690 40065228 50081535 66775380 100163070 200326140