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10090458 = 2327531511
BaseRepresentation
bin100110011111…
…011111011010
3200222122111200
4212133133122
510040343313
61000135030
7151524150
oct46373732
920878450
1010090458
115772124
123467476
132123ab1
1414a93d0
15d44b73
hex99f7da

10090458 has 48 divisors (see below), whose sum is σ = 25474176. Its totient is φ = 2826720.

The previous prime is 10090453. The next prime is 10090471. The reversal of 10090458 is 85409001.

It is not an unprimeable number, because it can be changed into a prime (10090453) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5923 + ... + 7433.

It is an arithmetic number, because the mean of its divisors is an integer number (530712).

Almost surely, 210090458 is an apocalyptic number.

10090458 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10090458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12737088).

10090458 is an abundant number, since it is smaller than the sum of its proper divisors (15383718).

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

10090458 is a wasteful number, since it uses less digits than its factorization.

10090458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10090458 is about 3176.5481265046. The cubic root of 10090458 is about 216.0911395225.

Adding to 10090458 its reverse (85409001), we get a palindrome (95499459).

The spelling of 10090458 in words is "ten million, ninety thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 318 371 477 742 954 1113 1511 2226 3022 3339 4533 6678 9066 10577 13599 21154 27198 31731 63462 80083 95193 160166 190386 240249 480498 560581 720747 1121162 1441494 1681743 3363486 5045229 10090458