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1998240 = 253523181
BaseRepresentation
bin111100111110110100000
310202112001220
413213312200
51002420430
6110455040
722661526
oct7476640
93675056
101998240
111145342
12804480
1354c6ba
143a0316
15297110
hex1e7da0

1998240 has 96 divisors (see below), whose sum is σ = 6604416. Its totient is φ = 506880.

The previous prime is 1998233. The next prime is 1998251. The reversal of 1998240 is 428991.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10950 + ... + 11130.

It is an arithmetic number, because the mean of its divisors is an integer number (68796).

21998240 is an apocalyptic number.

1998240 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 1998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208).

1998240 is an abundant number, since it is smaller than the sum of its proper divisors (4606176).

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

1998240 is a wasteful number, since it uses less digits than its factorization.

1998240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1998240 is about 1413.5911714495. The cubic root of 1998240 is about 125.9551364591.

The spelling of 1998240 in words is "one million, nine hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 181 184 230 240 276 345 362 368 460 480 543 552 690 724 736 905 920 1086 1104 1380 1448 1810 1840 2172 2208 2715 2760 2896 3620 3680 4163 4344 5430 5520 5792 7240 8326 8688 10860 11040 12489 14480 16652 17376 20815 21720 24978 28960 33304 41630 43440 49956 62445 66608 83260 86880 99912 124890 133216 166520 199824 249780 333040 399648 499560 666080 999120 1998240