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831487680 = 2635517237
BaseRepresentation
bin110001100011110…
…111111011000000
32010221120221200000
4301203313323000
53200330101210
6214301400000
726414346222
oct6143677300
92127527600
10831487680
11397398001
121b2569000
1310335905a
147c604412
154cee6ac0
hex318f7ec0

831487680 has 504 divisors, whose sum is σ = 3235775088. Its totient is φ = 203046912.

The previous prime is 831487637. The next prime is 831487687. The reversal of 831487680 is 86784138.

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

It is not an unprimeable number, because it can be changed into a prime (831487687) 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, 22472622 + ... + 22472658.

Almost surely, 2831487680 is an apocalyptic number.

831487680 is a gapful number since it is divisible by the number (80) 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 831487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617887544).

831487680 is an abundant number, since it is smaller than the sum of its proper divisors (2404287408).

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

831487680 is a wasteful number, since it uses less digits than its factorization.

831487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 831487680 is about 28835.5280860261. The cubic root of 831487680 is about 940.3407848429.

The spelling of 831487680 in words is "eight hundred thirty-one million, four hundred eighty-seven thousand, six hundred eighty".