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988080 = 243523179
BaseRepresentation
bin11110001001110110000
31212012101120
43301032300
5223104310
633102240
711253462
oct3611660
91765346
10988080
116153a5
123b7980
13287982
141ba132
15147b70
hexf13b0

988080 has 80 divisors (see below), whose sum is σ = 3214080. Its totient is φ = 250624.

The previous prime is 988069. The next prime is 988093. The reversal of 988080 is 80889.

988080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 5431 + ... + 5609.

It is an arithmetic number, because the mean of its divisors is an integer number (40176).

2988080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 988080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607040).

988080 is an abundant number, since it is smaller than the sum of its proper divisors (2226000).

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

988080 is a wasteful number, since it uses less digits than its factorization.

988080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 988080 is about 994.0221325504. The cubic root of 988080 is about 99.6010773903.

The spelling of 988080 in words is "nine hundred eighty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 179 184 230 240 276 345 358 368 460 537 552 690 716 895 920 1074 1104 1380 1432 1790 1840 2148 2685 2760 2864 3580 4117 4296 5370 5520 7160 8234 8592 10740 12351 14320 16468 20585 21480 24702 32936 41170 42960 49404 61755 65872 82340 98808 123510 164680 197616 247020 329360 494040 988080