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84021680 = 2458631217
BaseRepresentation
bin1010000001000…
…01000110110000
312212002202002002
411000201012300
5133002143210
612200513132
72040113111
oct500410660
9185082062
1084021680
1143478806
122417b7a8
131453aa92
14b232208
15759a4a5
hex50211b0

84021680 has 40 divisors (see below), whose sum is σ = 195737472. Its totient is φ = 33542144.

The previous prime is 84021673. The next prime is 84021683. The reversal of 84021680 is 8612048.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (84021683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68432 + ... + 69648.

Almost surely, 284021680 is an apocalyptic number.

84021680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84021680 is an abundant number, since it is smaller than the sum of its proper divisors (111715792).

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

84021680 is a wasteful number, since it uses less digits than its factorization.

84021680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 84021680 is about 9166.3340545717. The cubic root of 84021680 is about 437.9895885156.

The spelling of 84021680 in words is "eighty-four million, twenty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 863 1217 1726 2434 3452 4315 4868 6085 6904 8630 9736 12170 13808 17260 19472 24340 34520 48680 69040 97360 1050271 2100542 4201084 5251355 8402168 10502710 16804336 21005420 42010840 84021680