Search a number
-
+
1998353280 = 273572111931
BaseRepresentation
bin111011100011100…
…0111001110000000
312011021020212100110
41313013013032000
513043034301110
6530143351320
7100343502600
oct16707071600
95137225313
101998353280
11936022440
124792b2540
1325b01b981
1414d58ac00
15ba689a20
hex771c7380

1998353280 has 384 divisors, whose sum is σ = 8087506560. Its totient is φ = 415027200.

The previous prime is 1998353267. The next prime is 1998353303. The reversal of 1998353280 is 823538991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1033915 + ... + 1035845.

It is an arithmetic number, because the mean of its divisors is an integer number (21061215).

Almost surely, 21998353280 is an apocalyptic number.

1998353280 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 1998353280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043753280).

1998353280 is an abundant number, since it is smaller than the sum of its proper divisors (6089153280).

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

1998353280 is a wasteful number, since it uses less digits than its factorization.

1998353280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 1998353280 is about 44702.9448694379. The cubic root of 1998353280 is about 1259.5751654165.

The spelling of 1998353280 in words is "one billion, nine hundred ninety-eight million, three hundred fifty-three thousand, two hundred eighty".