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10006059 = 37476479
BaseRepresentation
bin100110001010…
…111000101011
3200211100201210
4212022320223
510030143214
6554244203
7151023120
oct46127053
920740653
1010006059
115714778
123426663
1320c455b
141486747
15d29b59
hex98ae2b

10006059 has 8 divisors (see below), whose sum is σ = 15247360. Its totient is φ = 5717736.

The previous prime is 10006043. The next prime is 10006063. The reversal of 10006059 is 95060001.

10006059 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10006059 - 24 = 10006043 is a prime.

It is a super-2 number, since 2×100060592 = 200242433422962, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 476479 = 10006059 / (1 + 0 + 0 + 0 + 6 + 0 + 5 + 9).

It is a Duffinian number.

10006059 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (10006039) 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, 238219 + ... + 238260.

It is an arithmetic number, because the mean of its divisors is an integer number (1905920).

Almost surely, 210006059 is an apocalyptic number.

10006059 is a deficient number, since it is larger than the sum of its proper divisors (5241301).

10006059 is an equidigital number, since it uses as much as digits as its factorization.

10006059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476489.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 10006059 is about 3163.2355271146. The cubic root of 10006059 is about 215.4869726174.

The spelling of 10006059 in words is "ten million, six thousand, fifty-nine".

Divisors: 1 3 7 21 476479 1429437 3335353 10006059