Search a number
-
+
13818450 = 2352175419
BaseRepresentation
bin110100101101…
…101001010010
3222000001100110
4310231221102
512014142300
61212102150
7225312012
oct64555122
928001313
1013818450
117889008
124764956
132b2a8c9
141b99c42
15132e550
hexd2da52

13818450 has 48 divisors (see below), whose sum is σ = 36292320. Its totient is φ = 3467520.

The previous prime is 13818439. The next prime is 13818451. The reversal of 13818450 is 5481831.

13818450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (13818451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160 + ... + 5259.

It is an arithmetic number, because the mean of its divisors is an integer number (756090).

Almost surely, 213818450 is an apocalyptic number.

13818450 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 13818450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18146160).

13818450 is an abundant number, since it is smaller than the sum of its proper divisors (22473870).

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

13818450 is a wasteful number, since it uses less digits than its factorization.

13818450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5451 (or 5446 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 13818450 is about 3717.3175812674. The cubic root of 13818450 is about 239.9678776453.

The spelling of 13818450 in words is "thirteen million, eight hundred eighteen thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 425 510 850 1275 2550 5419 10838 16257 27095 32514 54190 81285 92123 135475 162570 184246 270950 276369 406425 460615 552738 812850 921230 1381845 2303075 2763690 4606150 6909225 13818450