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146105036 = 227112931619
BaseRepresentation
bin10001011010101…
…10001011001100
3101011220220102122
420231112023030
5244400330121
622255312112
73422605130
oct1055261314
9334826378
10146105036
1175521970
1240b1b638
13243670ac
14155933c0
15cc605ab
hex8b562cc

146105036 has 48 divisors (see below), whose sum is σ = 320060160. Its totient is φ = 56694720.

The previous prime is 146105027. The next prime is 146105081. The reversal of 146105036 is 630501641.

It is a super-2 number, since 2×1461050362 = 42693363089122592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146104996 and 146105014.

It is an unprimeable number.

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, 89435 + ... + 91053.

It is an arithmetic number, because the mean of its divisors is an integer number (6667920).

Almost surely, 2146105036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146105036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160030080).

146105036 is an abundant number, since it is smaller than the sum of its proper divisors (173955124).

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

146105036 is a wasteful number, since it uses less digits than its factorization.

146105036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 146105036 is about 12087.3916127509. The cubic root of 146105036 is about 526.6899868611.

Adding to 146105036 its reverse (630501641), we get a palindrome (776606677).

The spelling of 146105036 in words is "one hundred forty-six million, one hundred five thousand, thirty-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 293 308 586 1172 1619 2051 3223 3238 4102 6446 6476 8204 11333 12892 17809 22561 22666 35618 45122 45332 71236 90244 124663 249326 474367 498652 948734 1897468 3320569 5218037 6641138 10436074 13282276 20872148 36526259 73052518 146105036