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14295690 = 23653753
BaseRepresentation
bin110110100010…
…001010001010
3222220022000000
4312202022022
512124430230
61230223430
7232340253
oct66421212
928808000
1014295690
118084622
124954b76
132c66bb6
141c81b2a
1513c5b60
hexda228a

14295690 has 112 divisors (see below), whose sum is σ = 40371048. Its totient is φ = 3639168.

The previous prime is 14295689. The next prime is 14295707. The reversal of 14295690 is 9659241.

It can be written as a sum of positive squares in 4 ways, for example, as 14085009 + 210681 = 3753^2 + 459^2 .

It is a super-2 number, since 2×142956902 = 408733505152200, which contains 22 as substring.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 269704 + ... + 269756.

Almost surely, 214295690 is an apocalyptic number.

14295690 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 14295690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20185524).

14295690 is an abundant number, since it is smaller than the sum of its proper divisors (26075358).

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

14295690 is an equidigital number, since it uses as much as digits as its factorization.

14295690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 14295690 is about 3780.9641627500. The cubic root of 14295690 is about 242.6992163231.

The spelling of 14295690 in words is "fourteen million, two hundred ninety-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 53 54 74 81 90 106 111 135 159 162 185 222 243 265 270 318 333 370 405 477 486 530 555 666 729 795 810 954 999 1110 1215 1431 1458 1590 1665 1961 1998 2385 2430 2862 2997 3330 3645 3922 4293 4770 4995 5883 5994 7155 7290 8586 8991 9805 9990 11766 12879 14310 14985 17649 17982 19610 21465 25758 26973 29415 29970 35298 38637 42930 44955 52947 53946 58830 64395 77274 88245 89910 105894 128790 134865 158841 176490 193185 264735 269730 317682 386370 476523 529470 794205 953046 1429569 1588410 2382615 2859138 4765230 7147845 14295690