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980761056 = 2531171103127
BaseRepresentation
bin111010011101010…
…011100111100000
32112100110211020120
4322131103213200
54002033323211
6241153040240
733206221452
oct7235234740
92470424216
10980761056
11463683330
12234556080
131282622b2
14943802d2
155b180d06
hex3a7539e0

980761056 has 192 divisors, whose sum is σ = 2898395136. Its totient is φ = 287884800.

The previous prime is 980761049. The next prime is 980761069. The reversal of 980761056 is 650167089.

It is a junction number, because it is equal to n+sod(n) for n = 980760999 and 980761017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7722465 + ... + 7722591.

It is an arithmetic number, because the mean of its divisors is an integer number (15095808).

Almost surely, 2980761056 is an apocalyptic number.

980761056 is a gapful number since it is divisible by the number (96) 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 980761056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1449197568).

980761056 is an abundant number, since it is smaller than the sum of its proper divisors (1917634080).

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

980761056 is a wasteful number, since it uses less digits than its factorization.

980761056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 980761056 is about 31317.1048470321. The cubic root of 980761056 is about 993.5454470478.

The spelling of 980761056 in words is "nine hundred eighty million, seven hundred sixty-one thousand, fifty-six".