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1682420160 = 26351752521
BaseRepresentation
bin110010001000111…
…1011000111000000
311100020202210120210
41210101323013000
511421144421120
6434540034120
756456223021
oct14421730700
94306683523
101682420160
11793756193
123ab532940
1320a7328b5
1411d62ac48
159ca7ece0
hex6447b1c0

1682420160 has 56 divisors (see below), whose sum is σ = 5341687056. Its totient is φ = 448645120.

The previous prime is 1682420141. The next prime is 1682420161. The reversal of 1682420160 is 610242861.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682420161) by changing a digit.

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, 875301 + ... + 877220.

Almost surely, 21682420160 is an apocalyptic number.

1682420160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1682420160 is an abundant number, since it is smaller than the sum of its proper divisors (3659266896).

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

1682420160 is a wasteful number, since it uses less digits than its factorization.

1682420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752541 (or 1752531 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1682420160 is about 41017.3153680248. The cubic root of 1682420160 is about 1189.3549596010.

The spelling of 1682420160 in words is "one billion, six hundred eighty-two million, four hundred twenty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1752521 3505042 5257563 7010084 8762605 10515126 14020168 17525210 21030252 26287815 28040336 35050420 42060504 52575630 56080672 70100840 84121008 105151260 112161344 140201680 168242016 210302520 280403360 336484032 420605040 560806720 841210080 1682420160