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84114001 = 4110931877
BaseRepresentation
bin1010000001101…
…11101001010001
312212021102201101
411000313221101
5133013122001
612202504401
72040646216
oct500675121
9185242641
1084114001
1143531104
1224205101
1314570aca
14b257b0d
1575b7a01
hex5037a51

84114001 has 8 divisors (see below), whose sum is σ = 86290344. Its totient is φ = 81943680.

The previous prime is 84113959. The next prime is 84114029. The reversal of 84114001 is 10041148.

It can be written as a sum of positive squares in 4 ways, for example, as 19793601 + 64320400 = 4449^2 + 8020^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 84114001 - 27 = 84113873 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 84114001.

It is not an unprimeable number, because it can be changed into a prime (84115001) 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, 43875 + ... + 45751.

It is an arithmetic number, because the mean of its divisors is an integer number (10786293).

Almost surely, 284114001 is an apocalyptic number.

It is an amenable number.

84114001 is a deficient number, since it is larger than the sum of its proper divisors (2176343).

84114001 is a wasteful number, since it uses less digits than its factorization.

84114001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011.

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 84114001 is about 9171.3685456425. The cubic root of 84114001 is about 438.1499472704.

Adding to 84114001 its reverse (10041148), we get a palindrome (94155149).

The spelling of 84114001 in words is "eighty-four million, one hundred fourteen thousand, one".

Divisors: 1 41 1093 1877 44813 76957 2051561 84114001