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1680826720 = 25517617951
BaseRepresentation
bin110010000101111…
…0110000101100000
311100010202211210111
41210023312011200
511420242423340
6434441541104
756436535306
oct14413660540
94303684714
101680826720
11792867aa1
123aaaa4794
1320a2c5531
1411d334276
159c867aea
hex642f6160

1680826720 has 48 divisors (see below), whose sum is σ = 4204545408. Its totient is φ = 632780800.

The previous prime is 1680826709. The next prime is 1680826733. The reversal of 1680826720 is 276280861.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306256 + ... + 311695.

It is an arithmetic number, because the mean of its divisors is an integer number (87594696).

Almost surely, 21680826720 is an apocalyptic number.

1680826720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1680826720 is an abundant number, since it is smaller than the sum of its proper divisors (2523718688).

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

1680826720 is a wasteful number, since it uses less digits than its factorization.

1680826720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617983 (or 617975 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 1680826720 is about 40997.8867748083. The cubic root of 1680826720 is about 1188.9793569547.

The spelling of 1680826720 in words is "one billion, six hundred eighty million, eight hundred twenty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 617951 1235902 2471804 3089755 4943608 6179510 9887216 10505167 12359020 19774432 21010334 24718040 42020668 49436080 52525835 84041336 98872160 105051670 168082672 210103340 336165344 420206680 840413360 1680826720