Search a number
-
+
14948190 = 2325414051
BaseRepresentation
bin111001000001…
…011101011110
31001010110001200
4321001131132
512311320230
61252220330
7241025505
oct71013536
931113050
1014948190
11848a884
12500a6a6
133134baa
141db183c
1514a4160
hexe4175e

14948190 has 48 divisors (see below), whose sum is σ = 39823056. Its totient is φ = 3888000.

The previous prime is 14948179. The next prime is 14948191. The reversal of 14948190 is 9184941.

14948190 is a `hidden beast` number, since 1 + 494 + 81 + 90 = 666.

It is a super-2 number, since 2×149481902 = 446896768552200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14948191) 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 23 ways as a sum of consecutive naturals, for example, 1665 + ... + 5715.

It is an arithmetic number, because the mean of its divisors is an integer number (829647).

Almost surely, 214948190 is an apocalyptic number.

14948190 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 14948190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19911528).

14948190 is an abundant number, since it is smaller than the sum of its proper divisors (24874866).

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

14948190 is a wasteful number, since it uses less digits than its factorization.

14948190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4105 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 14948190 is about 3866.2889183298. The cubic root of 14948190 is about 246.3369366742.

The spelling of 14948190 in words is "fourteen million, nine hundred forty-eight thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 4051 8102 12153 20255 24306 36459 40510 60765 72918 121530 166091 182295 332182 364590 498273 830455 996546 1494819 1660910 2491365 2989638 4982730 7474095 14948190