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1681280 = 2753771
BaseRepresentation
bin110011010011110000000
310011102021122
412122132000
5412300110
6100011412
720201456
oct6323600
93142248
101681280
11a49197
12690b68
1346b353
1431a9d6
15233255
hex19a780

1681280 has 64 divisors (see below), whose sum is σ = 4186080. Its totient is φ = 645120.

The previous prime is 1681279. The next prime is 1681289. The reversal of 1681280 is 821861.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23645 + ... + 23715.

21681280 is an apocalyptic number.

1681280 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 1681280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093040).

1681280 is an abundant number, since it is smaller than the sum of its proper divisors (2504800).

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

1681280 is an equidigital number, since it uses as much as digits as its factorization.

1681280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 26.

The square root of 1681280 is about 1296.6418163857. The cubic root of 1681280 is about 118.9086227405.

The spelling of 1681280 in words is "one million, six hundred eighty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 71 74 80 128 142 148 160 185 284 296 320 355 370 568 592 640 710 740 1136 1184 1420 1480 2272 2368 2627 2840 2960 4544 4736 5254 5680 5920 9088 10508 11360 11840 13135 21016 22720 23680 26270 42032 45440 52540 84064 105080 168128 210160 336256 420320 840640 1681280