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10059153 = 313376971
BaseRepresentation
bin100110010111…
…110110010001
3200221001120020
4212113312101
510033343103
6555334053
7151333656
oct46276621
920831506
1010059153
115750655
123451329
132112780
14149bc2d
15d3a753
hex997d91

10059153 has 16 divisors (see below), whose sum is σ = 14836416. Its totient is φ = 6022080.

The previous prime is 10059131. The next prime is 10059157. The reversal of 10059153 is 35195001.

It is not a de Polignac number, because 10059153 - 26 = 10059089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10059157) 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 15 ways as a sum of consecutive naturals, for example, 2043 + ... + 4928.

It is an arithmetic number, because the mean of its divisors is an integer number (927276).

Almost surely, 210059153 is an apocalyptic number.

10059153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10059153 is a deficient number, since it is larger than the sum of its proper divisors (4777263).

10059153 is a wasteful number, since it uses less digits than its factorization.

10059153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7024.

The product of its (nonzero) digits is 675, while the sum is 24.

The square root of 10059153 is about 3171.6167801297. The cubic root of 10059153 is about 215.8674383809.

The spelling of 10059153 in words is "ten million, fifty-nine thousand, one hundred fifty-three".

Divisors: 1 3 13 37 39 111 481 1443 6971 20913 90623 257927 271869 773781 3353051 10059153