Search a number
-
+
14535540 = 22325233511
BaseRepresentation
bin110111011100…
…101101110100
31000100111000100
4313130231310
512210114130
61235314100
7234356445
oct67345564
930314010
1014535540
118228848
124a4b930
13301c116
141d052cc
151421c60
hexddcb74

14535540 has 72 divisors (see below), whose sum is σ = 46021248. Its totient is φ = 3706560.

The previous prime is 14535539. The next prime is 14535581. The reversal of 14535540 is 4553541.

It is a super-2 number, since 2×145355402 = 422563846183200, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2385 + ... + 5895.

It is an arithmetic number, because the mean of its divisors is an integer number (639184).

Almost surely, 214535540 is an apocalyptic number.

14535540 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 14535540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23010624).

14535540 is an abundant number, since it is smaller than the sum of its proper divisors (31485708).

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

14535540 is a wasteful number, since it uses less digits than its factorization.

14535540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549 (or 3544 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 14535540 is about 3812.5503275367. The cubic root of 14535540 is about 244.0490137136.

The spelling of 14535540 in words is "fourteen million, five hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 3511 4140 7022 10533 14044 17555 21066 31599 35110 42132 52665 63198 70220 80753 105330 126396 157995 161506 210660 242259 315990 323012 403765 484518 631980 726777 807530 969036 1211295 1453554 1615060 2422590 2907108 3633885 4845180 7267770 14535540