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1680725284 = 227267131977
BaseRepresentation
bin110010000101101…
…1101010100100100
311100010120200122121
41210023131110210
511420231202114
6434435435324
756435633500
oct14413352444
94303520577
101680725284
117927a8867
123aaa55b44
1320a28b304
1411d309300
159c847a24
hex642dd524

1680725284 has 72 divisors (see below), whose sum is σ = 3502632672. Its totient is φ = 703422720.

The previous prime is 1680725279. The next prime is 1680725297. The reversal of 1680725284 is 4825270861.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1680725284.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1719804 + ... + 1720780.

It is an arithmetic number, because the mean of its divisors is an integer number (48647676).

Almost surely, 21680725284 is an apocalyptic number.

1680725284 is a gapful number since it is divisible by the number (14) 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 1680725284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751316336).

1680725284 is an abundant number, since it is smaller than the sum of its proper divisors (1821907388).

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

1680725284 is a wasteful number, since it uses less digits than its factorization.

1680725284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 1680725284 is about 40996.6496679912. The cubic root of 1680725284 is about 1188.9554386184.

The spelling of 1680725284 in words is "one billion, six hundred eighty million, seven hundred twenty-five thousand, two hundred eighty-four".

Divisors: 1 2 4 7 14 28 49 67 98 131 134 196 262 268 469 524 917 938 977 1834 1876 1954 3283 3668 3908 6419 6566 6839 8777 12838 13132 13678 17554 25676 27356 35108 47873 61439 65459 95746 122878 127987 130918 191492 245756 255974 261836 430073 458213 511948 860146 895909 916426 1720292 1791818 1832852 3207491 3583636 6271363 6414982 8575129 12542726 12829964 17150258 25085452 34300516 60025903 120051806 240103612 420181321 840362642 1680725284