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1678100680 = 235318391613
BaseRepresentation
bin110010000000101…
…1100100011001000
311022221122100101001
41210001130203020
511414043210210
6434303304344
756404422544
oct14401344310
94287570331
101678100680
11791275973
123a9bab0b4
1320987c7a9
1411cc24a24
159c4ca03a
hex6405c8c8

1678100680 has 64 divisors (see below), whose sum is σ = 3904588800. Its totient is φ = 648410880.

The previous prime is 1678100663. The next prime is 1678100707. The reversal of 1678100680 is 860018761.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1039554 + ... + 1041166.

It is an arithmetic number, because the mean of its divisors is an integer number (61009200).

Almost surely, 21678100680 is an apocalyptic number.

1678100680 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 1678100680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952294400).

1678100680 is an abundant number, since it is smaller than the sum of its proper divisors (2226488120).

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

1678100680 is a wasteful number, since it uses less digits than its factorization.

1678100680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 1678100680 is about 40964.6271800440. The cubic root of 1678100680 is about 1188.3362291668.

The spelling of 1678100680 in words is "one billion, six hundred seventy-eight million, one hundred thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 839 1240 1613 1678 3226 3356 4195 6452 6712 8065 8390 12904 16130 16780 26009 32260 33560 50003 52018 64520 100006 104036 130045 200012 208072 250015 260090 400024 500030 520180 1000060 1040360 1353307 2000120 2706614 5413228 6766535 10826456 13533070 27066140 41952517 54132280 83905034 167810068 209762585 335620136 419525170 839050340 1678100680