Search a number
-
+
1099404000 = 25325330539
BaseRepresentation
bin100000110000111…
…1001001011100000
32211121201111202200
41001201321023200
54222421412000
6301032013200
736146531322
oct10141711340
92747644680
101099404000
11514648552
12268231200
13146a02616
14a6025612
15667b9500
hex418792e0

1099404000 has 144 divisors (see below), whose sum is σ = 3901912560. Its totient is φ = 293164800.

The previous prime is 1099403993. The next prime is 1099404029. The reversal of 1099404000 is 4049901.

It is a tau number, because it is divible by the number of its divisors (144).

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, 20731 + ... + 51269.

It is an arithmetic number, because the mean of its divisors is an integer number (27096615).

Almost surely, 21099404000 is an apocalyptic number.

1099404000 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 1099404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950956280).

1099404000 is an abundant number, since it is smaller than the sum of its proper divisors (2802508560).

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

1099404000 is a wasteful number, since it uses less digits than its factorization.

1099404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30570 (or 30549 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1099404000 is about 33157.2616480915. The cubic root of 1099404000 is about 1032.0936457297.

The spelling of 1099404000 in words is "one billion, ninety-nine million, four hundred four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 125 144 150 160 180 200 225 240 250 288 300 360 375 400 450 480 500 600 720 750 800 900 1000 1125 1200 1440 1500 1800 2000 2250 2400 3000 3600 4000 4500 6000 7200 9000 12000 18000 30539 36000 61078 91617 122156 152695 183234 244312 274851 305390 366468 458085 488624 549702 610780 732936 763475 916170 977248 1099404 1221560 1374255 1465872 1526950 1832340 2198808 2290425 2443120 2748510 2931744 3053900 3664680 3817375 4397616 4580850 4886240 5497020 6107800 6871275 7329360 7634750 8795232 9161700 10994040 11452125 12215600 13742550 14658720 15269500 18323400 21988080 22904250 24431200 27485100 30539000 34356375 36646800 43976160 45808500 54970200 61078000 68712750 73293600 91617000 109940400 122156000 137425500 183234000 219880800 274851000 366468000 549702000 1099404000