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1680920448 = 27310342499
BaseRepresentation
bin110010000110000…
…1100111110000000
311100010221121100220
41210030030332000
511420303423243
6434443543040
756440405464
oct14414147600
94303847326
101680920448
11792921459
123aab2aa80
1320a3290ac
1411d35a4a4
159c885783
hex6430cf80

1680920448 has 64 divisors (see below), whose sum is σ = 4508400000. Its totient is φ = 554853888.

The previous prime is 1680920413. The next prime is 1680920473. The reversal of 1680920448 is 8440290861.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18303 + ... + 60801.

It is an arithmetic number, because the mean of its divisors is an integer number (70443750).

Almost surely, 21680920448 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 1680920448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254200000).

1680920448 is an abundant number, since it is smaller than the sum of its proper divisors (2827479552).

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

1680920448 is a wasteful number, since it uses less digits than its factorization.

1680920448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42619 (or 42607 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 1680920448 is about 40999.0298421804. The cubic root of 1680920448 is about 1189.0014569099.

The spelling of 1680920448 in words is "one billion, six hundred eighty million, nine hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 128 192 206 309 384 412 618 824 1236 1648 2472 3296 4944 6592 9888 13184 19776 39552 42499 84998 127497 169996 254994 339992 509988 679984 1019976 1359968 2039952 2719936 4079904 4377397 5439872 8159808 8754794 13132191 16319616 17509588 26264382 35019176 52528764 70038352 105057528 140076704 210115056 280153408 420230112 560306816 840460224 1680920448