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1680996576 = 253719312137
BaseRepresentation
bin110010000110001…
…1111100011100000
311100011002110210110
41210030133203200
511420313342301
6434445331320
756441143440
oct14414374340
94304073713
101680996576
11792973676
123aab66b40
1320a35493c
1411d37a120
159c89d0d6
hex6431f8e0

1680996576 has 288 divisors, whose sum is σ = 5525210880. Its totient is φ = 437114880.

The previous prime is 1680996547. The next prime is 1680996599. The reversal of 1680996576 is 6756990861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12269980 + ... + 12270116.

It is an arithmetic number, because the mean of its divisors is an integer number (19184760).

Almost surely, 21680996576 is an apocalyptic number.

1680996576 is a gapful number since it is divisible by the number (16) 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 1680996576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762605440).

1680996576 is an abundant number, since it is smaller than the sum of its proper divisors (3844214304).

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

1680996576 is a wasteful number, since it uses less digits than its factorization.

1680996576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The square root of 1680996576 is about 40999.9582438812. The cubic root of 1680996576 is about 1189.0194063884.

The spelling of 1680996576 in words is "one billion, six hundred eighty million, nine hundred ninety-six thousand, five hundred seventy-six".