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1680960 = 263517103
BaseRepresentation
bin110011010011001000000
310011101211210
412122121000
5412242320
6100010120
720200521
oct6323100
93141753
101680960
11a48a26
12690940
1346b168
1431a848
152330e0
hex19a640

1680960 has 112 divisors (see below), whose sum is σ = 5705856. Its totient is φ = 417792.

The previous prime is 1680929. The next prime is 1680961. The reversal of 1680960 is 690861.

It is a Harshad number since it is a multiple of its sum of digits (30).

1680960 is a Rhonda number in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1680961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16269 + ... + 16371.

21680960 is an apocalyptic number.

1680960 is a gapful number since it is divisible by the number (10) 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 1680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2852928).

1680960 is an abundant number, since it is smaller than the sum of its proper divisors (4024896).

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

1680960 is a wasteful number, since it uses less digits than its factorization.

1680960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 1680960 is about 1296.5184148326. The cubic root of 1680960 is about 118.9010782558.

Subtracting from 1680960 its reverse (690861), we obtain a palindrome (990099).

The spelling of 1680960 in words is "one million, six hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 103 120 136 160 170 192 204 206 240 255 272 309 320 340 408 412 480 510 515 544 618 680 816 824 960 1020 1030 1088 1236 1360 1545 1632 1648 1751 2040 2060 2472 2720 3090 3264 3296 3502 4080 4120 4944 5253 5440 6180 6592 7004 8160 8240 8755 9888 10506 12360 14008 16320 16480 17510 19776 21012 24720 26265 28016 32960 35020 42024 49440 52530 56032 70040 84048 98880 105060 112064 140080 168096 210120 280160 336192 420240 560320 840480 1680960