Search a number
-
+
14040090 = 2325732137
BaseRepresentation
bin110101100011…
…110000011010
3222102022101100
4311203300122
512043240330
61220532230
7230224131
oct65436032
928368340
1014040090
117a1a589
124851076
132ba775c
141c16918
151375060
hexd63c1a

14040090 has 48 divisors (see below), whose sum is σ = 37021608. Its totient is φ = 3691008.

The previous prime is 14040083. The next prime is 14040101. The reversal of 14040090 is 9004041.

14040090 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8003241 + 6036849 = 2829^2 + 2457^2 .

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

It is a Curzon 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, 5502 + ... + 7638.

Almost surely, 214040090 is an apocalyptic number.

14040090 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 14040090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18510804).

14040090 is an abundant number, since it is smaller than the sum of its proper divisors (22981518).

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

14040090 is a wasteful number, since it uses less digits than its factorization.

14040090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2223 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 14040090 is about 3747.0108086313. The cubic root of 14040090 is about 241.2440609919.

The spelling of 14040090 in words is "fourteen million, forty thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1314 2137 2190 3285 4274 6411 6570 10685 12822 19233 21370 32055 38466 64110 96165 156001 192330 312002 468003 780005 936006 1404009 1560010 2340015 2808018 4680030 7020045 14040090