Search a number
-
+
200131040 = 25531157257
BaseRepresentation
bin10111110110111…
…00000111100000
3111221120201011202
423323130013200
5402213143130
631505300332
74650041264
oct1373340740
9457521152
10200131040
11a2a7245a
12570346a8
1332601b45
141c8180a4
1512883145
hexbedc1e0

200131040 has 96 divisors (see below), whose sum is σ = 493081344. Its totient is φ = 76677120.

The previous prime is 200131031. The next prime is 200131069. The reversal of 200131040 is 40131002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778592 + ... + 778848.

It is an arithmetic number, because the mean of its divisors is an integer number (5136264).

Almost surely, 2200131040 is an apocalyptic number.

200131040 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 200131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246540672).

200131040 is an abundant number, since it is smaller than the sum of its proper divisors (292950304).

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

200131040 is a wasteful number, since it uses less digits than its factorization.

200131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 200131040 is about 14146.7678287303. The cubic root of 200131040 is about 584.9312408532.

Adding to 200131040 its reverse (40131002), we get a palindrome (240262042).

The spelling of 200131040 in words is "two hundred million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 157 160 248 257 310 314 496 514 620 628 785 992 1028 1240 1256 1285 1570 2056 2480 2512 2570 3140 4112 4867 4960 5024 5140 6280 7967 8224 9734 10280 12560 15934 19468 20560 24335 25120 31868 38936 39835 40349 41120 48670 63736 77872 79670 80698 97340 127472 155744 159340 161396 194680 201745 254944 318680 322792 389360 403490 637360 645584 778720 806980 1250819 1274720 1291168 1613960 2501638 3227920 5003276 6254095 6455840 10006552 12508190 20013104 25016380 40026208 50032760 100065520 200131040