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18128190 = 2352967311
BaseRepresentation
bin100010100100…
…1110100111110
31021010000012110
41011021310332
514120100230
61444314450
7310041603
oct105116476
937100173
1018128190
11a261a83
1260a2a26
1339a9452
14259c6aa
1518d14b0
hex1149d3e

18128190 has 64 divisors (see below), whose sum is σ = 45826560. Its totient is φ = 4583040.

The previous prime is 18128189. The next prime is 18128197. The reversal of 18128190 is 9182181.

18128190 is nontrivially palindromic in base 9.

It is a super-2 number, since 2×181281902 = 657262545352200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18128197) 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, 58135 + ... + 58445.

It is an arithmetic number, because the mean of its divisors is an integer number (716040).

Almost surely, 218128190 is an apocalyptic number.

18128190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 18128190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22913280).

18128190 is an abundant number, since it is smaller than the sum of its proper divisors (27698370).

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

18128190 is a wasteful number, since it uses less digits than its factorization.

18128190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417.

The product of its (nonzero) digits is 1152, while the sum is 30.

The square root of 18128190 is about 4257.7212214987. The cubic root of 18128190 is about 262.6948032451.

The spelling of 18128190 in words is "eighteen million, one hundred twenty-eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 15 29 30 58 67 87 134 145 174 201 290 311 335 402 435 622 670 870 933 1005 1555 1866 1943 2010 3110 3886 4665 5829 9019 9330 9715 11658 18038 19430 20837 27057 29145 41674 45095 54114 58290 62511 90190 104185 125022 135285 208370 270570 312555 604273 625110 1208546 1812819 3021365 3625638 6042730 9064095 18128190