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989160480 = 253257112811
BaseRepresentation
bin111010111101010…
…110010000100000
32112221021120002100
4322331112100200
54011211113410
6242053050400
733340503540
oct7275262040
92487246070
10989160480
1146839aa00
12237326a00
13129c13479
1495529320
155bc8e8c0
hex3af56420

989160480 has 432 divisors, whose sum is σ = 4245538752. Its totient is φ = 205286400.

The previous prime is 989160457. The next prime is 989160499. The reversal of 989160480 is 84061989.

989160480 is a `hidden beast` number, since 9 + 8 + 9 + 160 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1219275 + ... + 1220085.

It is an arithmetic number, because the mean of its divisors is an integer number (9827636).

Almost surely, 2989160480 is an apocalyptic number.

989160480 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 989160480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122769376).

989160480 is an abundant number, since it is smaller than the sum of its proper divisors (3256378272).

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

989160480 is a wasteful number, since it uses less digits than its factorization.

989160480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 989160480 is about 31450.9217670961. The cubic root of 989160480 is about 996.3736924557.

The spelling of 989160480 in words is "nine hundred eighty-nine million, one hundred sixty thousand, four hundred eighty".