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1680912 = 24341297
BaseRepresentation
bin110011010011000010000
310011101210000
412122120100
5412242122
6100010000
720200422
oct6323020
93141700
101680912
11a48992
12690900
1346b12c
1431a812
152330ac
hex19a610

1680912 has 50 divisors (see below), whose sum is σ = 4868798. Its totient is φ = 559872.

The previous prime is 1680907. The next prime is 1680919. The reversal of 1680912 is 2190861.

It can be written as a sum of positive squares in only one way, i.e., 1679616 + 1296 = 1296^2 + 36^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1680919) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 648 + ... + 1944.

21680912 is an apocalyptic number.

1680912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 1296×1297.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434399).

1680912 is an abundant number, since it is smaller than the sum of its proper divisors (3187886).

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

1680912 is a wasteful number, since it uses less digits than its factorization.

1680912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1680912 is about 1296.4999035866. The cubic root of 1680912 is about 118.8999465005.

The spelling of 1680912 in words is "one million, six hundred eighty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1297 2594 3891 5188 7782 10376 11673 15564 20752 23346 31128 35019 46692 62256 70038 93384 105057 140076 186768 210114 280152 420228 560304 840456 1680912