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1682120016 = 243231376819
BaseRepresentation
bin110010001000011…
…0001110101010000
311100020012112212100
41210100301311100
511421110320031
6434525400400
756453532663
oct14420616520
94306175770
101682120016
11793570735
123ab409100
1320a6590b5
1411d58d6da
159ca20de6
hex64431d50

1682120016 has 60 divisors (see below), whose sum is σ = 4859470720. Its totient is φ = 542617920.

The previous prime is 1682120003. The next prime is 1682120017. The reversal of 1682120016 is 6100212861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682120017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183946 + ... + 192873.

Almost surely, 21682120016 is an apocalyptic number.

1682120016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1682120016 is an abundant number, since it is smaller than the sum of its proper divisors (3177350704).

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

1682120016 is a wasteful number, since it uses less digits than its factorization.

1682120016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376864 (or 376855 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1682120016 is about 41013.6564573314. The cubic root of 1682120016 is about 1189.2842283624.

Adding to 1682120016 its reverse (6100212861), we get a palindrome (7782332877).

The spelling of 1682120016 in words is "one billion, six hundred eighty-two million, one hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 376819 753638 1130457 1507276 2260914 3014552 3391371 4521828 6029104 6782742 9043656 11681389 13565484 18087312 23362778 27130968 35044167 46725556 54261936 70088334 93451112 105132501 140176668 186902224 210265002 280353336 420530004 560706672 841060008 1682120016