Search a number
-
+
200139100 = 225272331401
BaseRepresentation
bin10111110110111…
…10000101011100
3111221121010020021
423323132011130
5402213422400
631505401524
74650103630
oct1373360534
9457533207
10200139100
11a2a78517
12570392a4
1332605705
141c81adc0
151288571a
hexbede15c

200139100 has 144 divisors (see below), whose sum is σ = 535965696. Its totient is φ = 63360000.

The previous prime is 200139097. The next prime is 200139101. The reversal of 200139100 is 1931002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200139101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 498900 + ... + 499300.

It is an arithmetic number, because the mean of its divisors is an integer number (3721984).

Almost surely, 2200139100 is an apocalyptic number.

200139100 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 200139100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267982848).

200139100 is an abundant number, since it is smaller than the sum of its proper divisors (335826596).

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

200139100 is a wasteful number, since it uses less digits than its factorization.

200139100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 200139100 is about 14147.0526965867. The cubic root of 200139100 is about 584.9390931792.

The spelling of 200139100 in words is "two hundred million, one hundred thirty-nine thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 31 35 46 50 62 70 92 100 115 124 140 155 161 175 217 230 310 322 350 401 434 460 575 620 644 700 713 775 802 805 868 1085 1150 1426 1550 1604 1610 2005 2170 2300 2807 2852 3100 3220 3565 4010 4025 4340 4991 5425 5614 7130 8020 8050 9223 9982 10025 10850 11228 12431 14035 14260 16100 17825 18446 19964 20050 21700 24862 24955 28070 35650 36892 40100 46115 49724 49910 56140 62155 64561 70175 71300 87017 92230 99820 124310 124775 129122 140350 174034 184460 230575 248620 249550 258244 280700 285913 310775 322805 348068 435085 461150 499100 571826 621550 645610 870170 922300 1143652 1243100 1291220 1429565 1614025 1740340 2001391 2175425 2859130 3228050 4002782 4350850 5718260 6456100 7147825 8005564 8701700 10006955 14295650 20013910 28591300 40027820 50034775 100069550 200139100