Search a number
-
+
2104542200 = 235217701883
BaseRepresentation
bin111110101110000…
…1100001111111000
312102200001211011102
41331130030033320
513302230322300
6544455350532
7103103212355
oct17534141770
95380054142
102104542200
1198aa60782
124a8982448
1327701b457
1415d70d62c
15c4b630d5
hex7d70c3f8

2104542200 has 96 divisors (see below), whose sum is σ = 5194154160. Its totient is φ = 790272000.

The previous prime is 2104542199. The next prime is 2104542221. The reversal of 2104542200 is 22454012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2382959 + ... + 2383841.

Almost surely, 22104542200 is an apocalyptic number.

2104542200 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 2104542200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2597077080).

2104542200 is an abundant number, since it is smaller than the sum of its proper divisors (3089611960).

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

2104542200 is a wasteful number, since it uses less digits than its factorization.

2104542200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2104542200 is about 45875.2896448622. The cubic root of 2104542200 is about 1281.5017773693.

Adding to 2104542200 its reverse (22454012), we get a palindrome (2126996212).

The spelling of 2104542200 in words is "two billion, one hundred four million, five hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 701 850 883 1402 1700 1766 2804 3400 3505 3532 4415 5608 7010 7064 8830 11917 14020 15011 17525 17660 22075 23834 28040 30022 35050 35320 44150 47668 59585 60044 70100 75055 88300 95336 119170 120088 140200 150110 176600 238340 297925 300220 375275 476680 595850 600440 618983 750550 1191700 1237966 1501100 2383400 2475932 3002200 3094915 4951864 6189830 10522711 12379660 15474575 21045422 24759320 30949150 42090844 52613555 61898300 84181688 105227110 123796600 210454220 263067775 420908440 526135550 1052271100 2104542200