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2104522400 = 255210512503
BaseRepresentation
bin111110101110000…
…0111011010100000
312102200000211000002
41331130013122200
513302224204100
6544455115132
7103103100551
oct17534073240
95380024002
102104522400
1198aa47912
124a8972aa8
13277012436
1415d706328
15c4b5c2d5
hex7d7076a0

2104522400 has 72 divisors (see below), whose sum is σ = 5144608224. Its totient is φ = 840672000.

The previous prime is 2104522393. The next prime is 2104522423. The reversal of 2104522400 is 42254012.

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 11 ways as a sum of consecutive naturals, for example, 839549 + ... + 842051.

It is an arithmetic number, because the mean of its divisors is an integer number (71452892).

Almost surely, 22104522400 is an apocalyptic number.

2104522400 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 2104522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572304112).

2104522400 is an abundant number, since it is smaller than the sum of its proper divisors (3040085824).

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

2104522400 is a wasteful number, since it uses less digits than its factorization.

2104522400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3574 (or 3561 counting only the distinct ones).

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

The square root of 2104522400 is about 45875.0738419024. The cubic root of 2104522400 is about 1281.4977584723.

Adding to 2104522400 its reverse (42254012), we get a palindrome (2146776412).

The spelling of 2104522400 in words is "two billion, one hundred four million, five hundred twenty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1051 2102 2503 4204 5006 5255 8408 10012 10510 12515 16816 20024 21020 25030 26275 33632 40048 42040 50060 52550 62575 80096 84080 100120 105100 125150 168160 200240 210200 250300 400480 420400 500600 840800 1001200 2002400 2630653 5261306 10522612 13153265 21045224 26306530 42090448 52613060 65766325 84180896 105226120 131532650 210452240 263065300 420904480 526130600 1052261200 2104522400