Search a number
-
+
1418200 = 235271013
BaseRepresentation
bin101011010001111011000
32200001101221
411122033120
5330340300
650221424
715024460
oct5321730
92601357
101418200
11889573
12584874
133a8694
1428cba0
151d031a
hex15a3d8

1418200 has 48 divisors (see below), whose sum is σ = 3772080. Its totient is φ = 485760.

The previous prime is 1418167. The next prime is 1418201. The reversal of 1418200 is 28141.

It is a happy number.

It is a super-2 number, since 2×14182002 = 4022582480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1418201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 894 + ... + 1906.

It is an arithmetic number, because the mean of its divisors is an integer number (78585).

21418200 is an apocalyptic number.

1418200 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 1418200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886040).

1418200 is an abundant number, since it is smaller than the sum of its proper divisors (2353880).

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

1418200 is a wasteful number, since it uses less digits than its factorization.

1418200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1036 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1418200 is about 1190.8820260630. The cubic root of 1418200 is about 112.3515738083.

The spelling of 1418200 in words is "one million, four hundred eighteen thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1013 1400 2026 4052 5065 7091 8104 10130 14182 20260 25325 28364 35455 40520 50650 56728 70910 101300 141820 177275 202600 283640 354550 709100 1418200