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988064 = 25711401
BaseRepresentation
bin11110001001110100000
31212012100222
43301032200
5223104224
633102212
711253440
oct3611640
91765328
10988064
11615390
123b7968
1328796c
141ba120
15147b5e
hexf13a0

988064 has 48 divisors (see below), whose sum is σ = 2431296. Its totient is φ = 384000.

The previous prime is 988061. The next prime is 988067. The reversal of 988064 is 460889.

It is an interprime number because it is at equal distance from previous prime (988061) and next prime (988067).

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 988064.

It is not an unprimeable number, because it can be changed into a prime (988061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2264 + ... + 2664.

It is an arithmetic number, because the mean of its divisors is an integer number (50652).

2988064 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 988064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215648).

988064 is an abundant number, since it is smaller than the sum of its proper divisors (1443232).

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

988064 is a wasteful number, since it uses less digits than its factorization.

988064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 988064 is about 994.0140844073. The cubic root of 988064 is about 99.6005397733.

The spelling of 988064 in words is "nine hundred eighty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 401 616 802 1232 1604 2464 2807 3208 4411 5614 6416 8822 11228 12832 17644 22456 30877 35288 44912 61754 70576 89824 123508 141152 247016 494032 988064