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1214900 = 225212149
BaseRepresentation
bin100101000100110110100
32021201112022
410220212310
5302334100
642012312
713216661
oct4504664
92251468
101214900
1175a855
124a7098
13336c9b
14238a68
1518ee85
hex1289b4

1214900 has 18 divisors (see below), whose sum is σ = 2636550. Its totient is φ = 485920.

The previous prime is 1214891. The next prime is 1214909. The reversal of 1214900 is 94121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1214891) and next prime (1214909).

It can be written as a sum of positive squares in 3 ways, for example, as 364816 + 850084 = 604^2 + 922^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5975 + ... + 6174.

It is an arithmetic number, because the mean of its divisors is an integer number (146475).

21214900 is an apocalyptic number.

1214900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1214900 is an abundant number, since it is smaller than the sum of its proper divisors (1421650).

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

1214900 is a wasteful number, since it uses less digits than its factorization.

1214900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12163 (or 12156 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1214900 is about 1102.2250223979. The cubic root of 1214900 is about 106.7038715702.

It can be divided in two parts, 121 and 4900, that multiplied together give a square (592900 = 7702).

The spelling of 1214900 in words is "one million, two hundred fourteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 12149 24298 48596 60745 121490 242980 303725 607450 1214900