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7530138 = 2337111811
BaseRepresentation
bin11100101110011010011010
3112011120102000
4130232122122
53411431023
6425221430
7121001520
oct34563232
915146360
107530138
114283560
122631876
131738605
141000310
159db243
hex72e69a

7530138 has 64 divisors (see below), whose sum is σ = 20874240. Its totient is φ = 1954800.

The previous prime is 7530121. The next prime is 7530139. The reversal of 7530138 is 8310357.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (7530139) 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 31 ways as a sum of consecutive naturals, for example, 3253 + ... + 5063.

It is an arithmetic number, because the mean of its divisors is an integer number (326160).

Almost surely, 27530138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7530138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10437120).

7530138 is an abundant number, since it is smaller than the sum of its proper divisors (13344102).

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

7530138 is a wasteful number, since it uses less digits than its factorization.

7530138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 7530138 is about 2744.1096916851. The cubic root of 7530138 is about 196.0052233788.

The spelling of 7530138 in words is "seven million, five hundred thirty thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 1811 2079 3622 4158 5433 10866 12677 16299 19921 25354 32598 38031 39842 48897 59763 76062 97794 114093 119526 139447 179289 228186 278894 342279 358578 418341 537867 684558 836682 1075734 1255023 2510046 3765069 7530138