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1679410020 = 2235374118451
BaseRepresentation
bin110010000011001…
…1100001101100100
311100001002212110010
41210012130031210
511414412110040
6434351330220
756421515061
oct14406341544
94301085403
101679410020
11791a8a672
123aa520970
13209c1a752
1411d085c68
159c687e80
hex6419c364

1679410020 has 96 divisors (see below), whose sum is σ = 4947497856. Its totient is φ = 425088000.

The previous prime is 1679410009. The next prime is 1679410049. The reversal of 1679410020 is 200149761.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1679410020.

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 31 ways as a sum of consecutive naturals, for example, 81795 + ... + 100245.

It is an arithmetic number, because the mean of its divisors is an integer number (51536436).

Almost surely, 21679410020 is an apocalyptic number.

1679410020 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 1679410020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2473748928).

1679410020 is an abundant number, since it is smaller than the sum of its proper divisors (3268087836).

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

1679410020 is a wasteful number, since it uses less digits than its factorization.

1679410020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18541 (or 18539 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 1679410020 is about 40980.6054128047. The cubic root of 1679410020 is about 1188.6452157249.

Adding to 1679410020 its reverse (200149761), we get a palindrome (1879559781).

The spelling of 1679410020 in words is "one billion, six hundred seventy-nine million, four hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 41 60 74 82 111 123 148 164 185 205 222 246 370 410 444 492 555 615 740 820 1110 1230 1517 2220 2460 3034 4551 6068 7585 9102 15170 18204 18451 22755 30340 36902 45510 55353 73804 91020 92255 110706 184510 221412 276765 369020 553530 682687 756491 1107060 1365374 1512982 2048061 2269473 2730748 3025964 3413435 3782455 4096122 4538946 6826870 7564910 8192244 9077892 10240305 11347365 13653740 15129820 20480610 22694730 27990167 40961220 45389460 55980334 83970501 111960668 139950835 167941002 279901670 335882004 419852505 559803340 839705010 1679410020