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1099406336 = 2107221911
BaseRepresentation
bin100000110000111…
…1001110000000000
32211121201121222012
41001201321300000
54222422000321
6301032032052
736146541200
oct10141716000
92747647865
101099406336
1151464a286
12268232628
13146a036c2
14a6026400
15667ba05b
hex41879c00

1099406336 has 66 divisors (see below), whose sum is σ = 2556670248. Its totient is φ = 471152640.

The previous prime is 1099406309. The next prime is 1099406369. The reversal of 1099406336 is 6336049901.

It is a junction number, because it is equal to n+sod(n) for n = 1099406293 and 1099406302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 39221 + ... + 61131.

It is an arithmetic number, because the mean of its divisors is an integer number (38737428).

Almost surely, 21099406336 is an apocalyptic number.

1099406336 is a gapful number since it is divisible by the number (16) 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 1099406336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278335124).

1099406336 is an abundant number, since it is smaller than the sum of its proper divisors (1457263912).

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

1099406336 is an equidigital number, since it uses as much as digits as its factorization.

1099406336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21945 (or 21920 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 41.

The square root of 1099406336 is about 33157.2968741422. The cubic root of 1099406336 is about 1032.0943767224.

The spelling of 1099406336 in words is "one billion, ninety-nine million, four hundred six thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 3136 3584 6272 7168 12544 21911 25088 43822 50176 87644 153377 175288 306754 350576 613508 701152 1073639 1227016 1402304 2147278 2454032 2804608 4294556 4908064 5609216 8589112 9816128 11218432 17178224 19632256 22436864 34356448 39264512 68712896 78529024 137425792 157058048 274851584 549703168 1099406336