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1998080 = 2857223
BaseRepresentation
bin111100111110100000000
310202111211222
413213310000
51002414310
6110454212
722661210
oct7476400
93674758
101998080
111145207
12804368
1354c5c6
143a0240
15297055
hex1e7d00

1998080 has 72 divisors (see below), whose sum is σ = 5494272. Its totient is φ = 681984.

The previous prime is 1998077. The next prime is 1998089. The reversal of 1998080 is 808991.

It is a happy number.

It is a super-3 number, since 3×19980803 = 23930946333966336000, which contains 333 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1998080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1998089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8849 + ... + 9071.

21998080 is an apocalyptic number.

1998080 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 1998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2747136).

1998080 is an abundant number, since it is smaller than the sum of its proper divisors (3496192).

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

1998080 is an equidigital number, since it uses as much as digits as its factorization.

1998080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 35.

The square root of 1998080 is about 1413.5345768675. The cubic root of 1998080 is about 125.9517746074.

The spelling of 1998080 in words is "one million, nine hundred ninety-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 223 224 256 280 320 446 448 560 640 892 896 1115 1120 1280 1561 1784 1792 2230 2240 3122 3568 4460 4480 6244 7136 7805 8920 8960 12488 14272 15610 17840 24976 28544 31220 35680 49952 57088 62440 71360 99904 124880 142720 199808 249760 285440 399616 499520 999040 1998080