Search a number
-
+
1109998400 = 265272331139
BaseRepresentation
bin100001000101001…
…0011101101000000
32212100122202112212
41002022103231000
54233124422100
6302051041252
736335554640
oct10212235500
92770582485
101109998400
1151a624255
1226b8a0228
13148c718b4
14a75c2520
15676ad635
hex42293b40

1109998400 has 336 divisors, whose sum is σ = 3386449920. Its totient is φ = 349747200.

The previous prime is 1109998397. The next prime is 1109998471. The reversal of 1109998400 is 48999011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7985531 + ... + 7985669.

It is an arithmetic number, because the mean of its divisors is an integer number (10078720).

Almost surely, 21109998400 is an apocalyptic number.

1109998400 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 1109998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693224960).

1109998400 is an abundant number, since it is smaller than the sum of its proper divisors (2276451520).

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

1109998400 is a wasteful number, since it uses less digits than its factorization.

1109998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 41.

The square root of 1109998400 is about 33316.6384858977. The cubic root of 1109998400 is about 1035.3983079593.

The spelling of 1109998400 in words is "one billion, one hundred nine million, nine hundred ninety-eight thousand, four hundred".