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104080800 = 25352172551
BaseRepresentation
bin1100011010000…
…10010110100000
321020211212000110
412031002112200
5203121041200
614154451320
72402446365
oct615022640
9236755013
10104080800
115382949a
122aa33b40
1318742095
14db7446c
15920db50
hex63425a0

104080800 has 144 divisors (see below), whose sum is σ = 358852032. Its totient is φ = 26112000.

The previous prime is 104080799. The next prime is 104080807. The reversal of 104080800 is 8080401.

It is not an unprimeable number, because it can be changed into a prime (104080807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39525 + ... + 42075.

It is an arithmetic number, because the mean of its divisors is an integer number (2492028).

Almost surely, 2104080800 is an apocalyptic number.

104080800 is a gapful number since it is divisible by the number (10) 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 104080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179426016).

104080800 is an abundant number, since it is smaller than the sum of its proper divisors (254771232).

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

104080800 is a wasteful number, since it uses less digits than its factorization.

104080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 104080800 is about 10201.9998039600. Note that the first 3 decimals coincide. The cubic root of 104080800 is about 470.3886930967.

The spelling of 104080800 in words is "one hundred four million, eighty thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 68 75 80 85 96 100 102 120 136 150 160 170 200 204 240 255 272 300 340 400 408 425 480 510 544 600 680 800 816 850 1020 1200 1275 1360 1632 1700 2040 2400 2550 2551 2720 3400 4080 5100 5102 6800 7653 8160 10200 10204 12755 13600 15306 20400 20408 25510 30612 38265 40800 40816 43367 51020 61224 63775 76530 81632 86734 102040 122448 127550 130101 153060 173468 191325 204080 216835 244896 255100 260202 306120 346936 382650 408160 433670 510200 520404 612240 650505 693872 765300 867340 1020400 1040808 1084175 1224480 1301010 1387744 1530600 1734680 2040800 2081616 2168350 2602020 3061200 3252525 3469360 4163232 4336700 5204040 6122400 6505050 6938720 8673400 10408080 13010100 17346800 20816160 26020200 34693600 52040400 104080800