Search a number
-
+
1998547680 = 253519317069
BaseRepresentation
bin111011100011111…
…0110101011100000
312011021121202000110
41313013312223200
513043112011210
6530151451320
7100345242423
oct16707665340
95137552013
101998547680
119361454a8
12479386b40
1325b0892bc
1414d5db9ba
15ba6c7420
hex771f6ae0

1998547680 has 192 divisors, whose sum is σ = 6841497600. Its totient is φ = 488540160.

The previous prime is 1998547667. The next prime is 1998547703. The reversal of 1998547680 is 867458991.

1998547680 = T4749 + T4750 + ... + T4919.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 1998547680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279186 + ... + 286254.

It is an arithmetic number, because the mean of its divisors is an integer number (35632800).

Almost surely, 21998547680 is an apocalyptic number.

1998547680 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 1998547680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420748800).

1998547680 is an abundant number, since it is smaller than the sum of its proper divisors (4842949920).

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

1998547680 is a wasteful number, since it uses less digits than its factorization.

1998547680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7137 (or 7129 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The square root of 1998547680 is about 44705.1191699564. The cubic root of 1998547680 is about 1259.6160079567.

The spelling of 1998547680 in words is "one billion, nine hundred ninety-eight million, five hundred forty-seven thousand, six hundred eighty".