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980676480 = 27357131557
BaseRepresentation
bin111010011100111…
…110111110000000
32112100022112020010
4322130332332000
54002023121410
6241151144520
733205420050
oct7234767600
92470275203
10980676480
11463625833
12234515140
13128232954
149435b560
155b165c20
hex3a73ef80

980676480 has 256 divisors, whose sum is σ = 3606197760. Its totient is φ = 222044160.

The previous prime is 980676449. The next prime is 980676503. The reversal of 980676480 is 84676089.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1760362 + ... + 1760918.

It is an arithmetic number, because the mean of its divisors is an integer number (14086710).

Almost surely, 2980676480 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 980676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803098880).

980676480 is an abundant number, since it is smaller than the sum of its proper divisors (2625521280).

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

980676480 is a wasteful number, since it uses less digits than its factorization.

980676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 980676480 is about 31315.7545015285. The cubic root of 980676480 is about 993.5168867392.

The spelling of 980676480 in words is "nine hundred eighty million, six hundred seventy-six thousand, four hundred eighty".