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14128590 = 2357193541
BaseRepresentation
bin110101111001…
…010111001110
3222120210210010
4311321113032
512104103330
61222454050
7231043140
oct65712716
928523703
1014128590
117a80023
124894326
132c08b18
141c3ac90
1513913b0
hexd795ce

14128590 has 64 divisors (see below), whose sum is σ = 40803840. Its totient is φ = 3058560.

The previous prime is 14128579. The next prime is 14128603. The reversal of 14128590 is 9582141.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2220 + ... + 5760.

It is an arithmetic number, because the mean of its divisors is an integer number (637560).

Almost surely, 214128590 is an apocalyptic number.

14128590 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 14128590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20401920).

14128590 is an abundant number, since it is smaller than the sum of its proper divisors (26675250).

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

14128590 is a wasteful number, since it uses less digits than its factorization.

14128590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3577.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 14128590 is about 3758.8016707456. The cubic root of 14128590 is about 241.7498838791.

The spelling of 14128590 in words is "fourteen million, one hundred twenty-eight thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1995 3541 3990 7082 10623 17705 21246 24787 35410 49574 53115 67279 74361 106230 123935 134558 148722 201837 247870 336395 371805 403674 470953 672790 743610 941906 1009185 1412859 2018370 2354765 2825718 4709530 7064295 14128590