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980280 = 233257389
BaseRepresentation
bin11101111010100111000
31211210200200
43233110320
5222332110
633002200
711221650
oct3572470
91753620
10980280
1160a554
123b3360
13284262
141b7360
151456c0
hexef538

980280 has 96 divisors (see below), whose sum is σ = 3650400. Its totient is φ = 223488.

The previous prime is 980261. The next prime is 980293. The reversal of 980280 is 82089.

It is a zygodrome in base 6.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 980280.

It is an unprimeable number.

980280 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2326 + ... + 2714.

It is an arithmetic number, because the mean of its divisors is an integer number (38025).

2980280 is an apocalyptic number.

980280 is a gapful number since it is divisible by the number (90) 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 980280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825200).

980280 is an abundant number, since it is smaller than the sum of its proper divisors (2670120).

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

980280 is a wasteful number, since it uses less digits than its factorization.

980280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 980280 is about 990.0909049173. The cubic root of 980280 is about 99.3382978265.

The spelling of 980280 in words is "nine hundred eighty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 389 420 504 630 778 840 1167 1260 1556 1945 2334 2520 2723 3112 3501 3890 4668 5446 5835 7002 7780 8169 9336 10892 11670 13615 14004 15560 16338 17505 21784 23340 24507 27230 28008 32676 35010 40845 46680 49014 54460 65352 70020 81690 98028 108920 122535 140040 163380 196056 245070 326760 490140 980280