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989040 = 243513317
BaseRepresentation
bin11110001011101110000
31212020201010
43301131300
5223122130
633110520
711256333
oct3613560
91766633
10989040
11616098
123b8440
13288240
141ba61a
151480b0
hexf1770

989040 has 80 divisors (see below), whose sum is σ = 3312288. Its totient is φ = 242688.

The previous prime is 989029. The next prime is 989059. The reversal of 989040 is 40989.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 988989 and 989007.

It is a congruent number.

It is an unprimeable number.

989040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 2962 + ... + 3278.

2989040 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 989040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656144).

989040 is an abundant number, since it is smaller than the sum of its proper divisors (2323248).

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

989040 is a wasteful number, since it uses less digits than its factorization.

989040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 989040 is about 994.5049019487. The cubic root of 989040 is about 99.6333237956.

The spelling of 989040 in words is "nine hundred eighty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 317 390 520 624 634 780 951 1040 1268 1560 1585 1902 2536 3120 3170 3804 4121 4755 5072 6340 7608 8242 9510 12363 12680 15216 16484 19020 20605 24726 25360 32968 38040 41210 49452 61815 65936 76080 82420 98904 123630 164840 197808 247260 329680 494520 989040