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980640 = 25335227
BaseRepresentation
bin11101111011010100000
31211211012000
43233122200
5222340030
633004000
711223003
oct3573240
91754160
10980640
1160a851
123b3600
1328447b
141b753a
15145860
hexef6a0

980640 has 96 divisors (see below), whose sum is σ = 3447360. Its totient is φ = 260352.

The previous prime is 980621. The next prime is 980641. The reversal of 980640 is 46089.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 980640.

It is not an unprimeable number, because it can be changed into a prime (980641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4207 + ... + 4433.

It is an arithmetic number, because the mean of its divisors is an integer number (35910).

2980640 is an apocalyptic number.

980640 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 980640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723680).

980640 is an abundant number, since it is smaller than the sum of its proper divisors (2466720).

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

980640 is a wasteful number, since it uses less digits than its factorization.

980640 is an odious number, because the sum of its binary digits is odd.

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

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 980640 is about 990.2726897173. The cubic root of 980640 is about 99.3504567370.

The spelling of 980640 in words is "nine hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 227 240 270 288 360 432 454 480 540 681 720 864 908 1080 1135 1362 1440 1816 2043 2160 2270 2724 3405 3632 4086 4320 4540 5448 6129 6810 7264 8172 9080 10215 10896 12258 13620 16344 18160 20430 21792 24516 27240 30645 32688 36320 40860 49032 54480 61290 65376 81720 98064 108960 122580 163440 196128 245160 326880 490320 980640