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2104534400 = 27524791373
BaseRepresentation
bin111110101110000…
…1010010110000000
312102200001102110112
41331130022112000
513302230100100
6544455250452
7103103150543
oct17534122600
95380042415
102104534400
1198aa55931
124a8979a28
13277017a37
1415d70a85a
15c4b60b35
hex7d70a580

2104534400 has 96 divisors (see below), whose sum is σ = 5213505600. Its totient is φ = 839444480.

The previous prime is 2104534351. The next prime is 2104534451. The reversal of 2104534400 is 44354012.

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, 1532114 + ... + 1533486.

It is an arithmetic number, because the mean of its divisors is an integer number (54307350).

Almost surely, 22104534400 is an apocalyptic number.

2104534400 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 2104534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2606752800).

2104534400 is an abundant number, since it is smaller than the sum of its proper divisors (3108971200).

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

2104534400 is a wasteful number, since it uses less digits than its factorization.

2104534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2104534400 is about 45875.2046316962. The cubic root of 2104534400 is about 1281.5001941705.

Adding to 2104534400 its reverse (44354012), we get a palindrome (2148888412).

The spelling of 2104534400 in words is "two billion, one hundred four million, five hundred thirty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 479 640 800 958 1373 1600 1916 2395 2746 3200 3832 4790 5492 6865 7664 9580 10984 11975 13730 15328 19160 21968 23950 27460 30656 34325 38320 43936 47900 54920 61312 68650 76640 87872 95800 109840 137300 153280 175744 191600 219680 274600 306560 383200 439360 549200 657667 766400 878720 1098400 1315334 1532800 2196800 2630668 3288335 4393600 5261336 6576670 10522672 13153340 16441675 21045344 26306680 32883350 42090688 52613360 65766700 84181376 105226720 131533400 210453440 263066800 420906880 526133600 1052267200 2104534400