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14051700 = 223252131201
BaseRepresentation
bin110101100110…
…100101110100
3222102220022100
4311212211310
512044123300
61221102100
7230303025
oct65464564
928386270
1014051700
117a28283
124857930
132bacb20
141c1ac4c
151378700
hexd66974

14051700 has 108 divisors (see below), whose sum is σ = 47471788. Its totient is φ = 3456000.

The previous prime is 14051683. The next prime is 14051701. The reversal of 14051700 is 715041.

It can be written as a sum of positive squares in 6 ways, for example, as 5963364 + 8088336 = 2442^2 + 2844^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14051701) 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 35 ways as a sum of consecutive naturals, for example, 11100 + ... + 12300.

Almost surely, 214051700 is an apocalyptic number.

14051700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14051700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23735894).

14051700 is an abundant number, since it is smaller than the sum of its proper divisors (33420088).

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

14051700 is a wasteful number, since it uses less digits than its factorization.

14051700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 14051700 is about 3748.5597234138. The cubic root of 14051700 is about 241.3105390055.

Adding to 14051700 its reverse (715041), we get a palindrome (14766741).

The spelling of 14051700 in words is "fourteen million, fifty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1201 1300 1950 2340 2402 2925 3603 3900 4804 5850 6005 7206 10809 11700 12010 14412 15613 18015 21618 24020 30025 31226 36030 43236 46839 54045 60050 62452 72060 78065 90075 93678 108090 120100 140517 156130 180150 187356 216180 234195 270225 281034 312260 360300 390325 468390 540450 562068 702585 780650 936780 1080900 1170975 1405170 1561300 2341950 2810340 3512925 4683900 7025850 14051700