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1680693616 = 247127173683
BaseRepresentation
bin110010000101101…
…0101100101110000
311100010112002012201
41210023111211300
511420224143431
6434435032544
756435442250
oct14413254560
94303462181
101680693616
11792786a98
123aaa3b754
1320a279a84
1411d2db960
159c83d461
hex642d5970

1680693616 has 80 divisors (see below), whose sum is σ = 3778043904. Its totient is φ = 709454592.

The previous prime is 1680693577. The next prime is 1680693629. The reversal of 1680693616 is 6163960861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2460411 + ... + 2461093.

Almost surely, 21680693616 is an apocalyptic number.

1680693616 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 1680693616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889021952).

1680693616 is an abundant number, since it is smaller than the sum of its proper divisors (2097350288).

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

1680693616 is a wasteful number, since it uses less digits than its factorization.

1680693616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 46.

The square root of 1680693616 is about 40996.2634394892. The cubic root of 1680693616 is about 1188.9479711919.

The spelling of 1680693616 in words is "one billion, six hundred eighty million, six hundred ninety-three thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 127 173 254 346 508 683 692 889 1016 1211 1366 1384 1778 2032 2422 2732 2768 3556 4781 4844 5464 7112 9562 9688 10928 14224 19124 19376 21971 38248 43942 76496 86741 87884 118159 153797 173482 175768 236318 307594 346964 351536 472636 607187 615188 693928 827113 945272 1214374 1230376 1387856 1654226 1890544 2428748 2460752 3308452 4857496 6616904 9714992 13233808 15006193 30012386 60024772 105043351 120049544 210086702 240099088 420173404 840346808 1680693616