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2104252400 = 245217929389
BaseRepresentation
bin111110101101100…
…0101011111110000
312102122112002122002
41331123011133300
513302142034100
6544445233132
7103100564435
oct17533053760
95378462562
102104252400
1198a882a78
124a88627a8
13276c49583
1415d675b8c
15c4b072d5
hex7d6c57f0

2104252400 has 60 divisors (see below), whose sum is σ = 5083882200. Its totient is φ = 836970240.

The previous prime is 2104252391. The next prime is 2104252421. The reversal of 2104252400 is 42524012.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56906 + ... + 86294.

It is an arithmetic number, because the mean of its divisors is an integer number (84731370).

Almost surely, 22104252400 is an apocalyptic number.

2104252400 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 2104252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541941100).

2104252400 is an abundant number, since it is smaller than the sum of its proper divisors (2979629800).

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

2104252400 is a wasteful number, since it uses less digits than its factorization.

2104252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29586 (or 29575 counting only the distinct ones).

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

The square root of 2104252400 is about 45872.1309729557. The cubic root of 2104252400 is about 1281.4429528162.

Adding to 2104252400 its reverse (42524012), we get a palindrome (2146776412).

The spelling of 2104252400 in words is "two billion, one hundred four million, two hundred fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 179 200 358 400 716 895 1432 1790 2864 3580 4475 7160 8950 14320 17900 29389 35800 58778 71600 117556 146945 235112 293890 470224 587780 734725 1175560 1469450 2351120 2938900 5260631 5877800 10521262 11755600 21042524 26303155 42085048 52606310 84170096 105212620 131515775 210425240 263031550 420850480 526063100 1052126200 2104252400