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989880768 = 26329771759
BaseRepresentation
bin111011000000000…
…110000111000000
32112222122011010200
4323000012013000
54011402141033
6242120325200
733346563522
oct7300060700
92488564120
10989880768
11468842088
12237613800
1312a106286
1495675a12
155bd83013
hex3b0061c0

989880768 has 84 divisors (see below), whose sum is σ = 2841833280. Its totient is φ = 329435136.

The previous prime is 989880767. The next prime is 989880797. The reversal of 989880768 is 867088989.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989880767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561873 + ... + 563631.

Almost surely, 2989880768 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 989880768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420916640).

989880768 is an abundant number, since it is smaller than the sum of its proper divisors (1851952512).

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

989880768 is a wasteful number, since it uses less digits than its factorization.

989880768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The square root of 989880768 is about 31462.3706671954. The cubic root of 989880768 is about 996.6154806184.

The spelling of 989880768 in words is "nine hundred eighty-nine million, eight hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 977 1759 1954 2931 3518 3908 5277 5862 7036 7816 8793 10554 11724 14072 15632 15831 17586 21108 23448 28144 31264 31662 35172 42216 46896 56288 62528 63324 70344 84432 93792 112576 126648 140688 168864 187584 253296 281376 337728 506592 562752 1013184 1718543 3437086 5155629 6874172 10311258 13748344 15466887 20622516 27496688 30933774 41245032 54993376 61867548 82490064 109986752 123735096 164980128 247470192 329960256 494940384 989880768