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988796160 = 2835511172
BaseRepresentation
bin111010111011111…
…101010100000000
32112220121001100000
4322323331110000
54011112434120
6242041200000
733334425432
oct7273752400
92486531300
10988796160
11468171210
12237190000
13129b166b1
1495472652
155bc1b990
hex3aefd500

988796160 has 648 divisors, whose sum is σ = 4111432416. Its totient is φ = 225607680.

The previous prime is 988796129. The next prime is 988796167. The reversal of 988796160 is 61697889.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 988796097 and 988796106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988796167) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58164472 + ... + 58164488.

Almost surely, 2988796160 is an apocalyptic number.

988796160 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 988796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055716208).

988796160 is an abundant number, since it is smaller than the sum of its proper divisors (3122636256).

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

988796160 is a wasteful number, since it uses less digits than its factorization.

988796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 988796160 is about 31445.1293525722. The cubic root of 988796160 is about 996.2513518629.

The spelling of 988796160 in words is "nine hundred eighty-eight million, seven hundred ninety-six thousand, one hundred sixty".