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1218126 = 237132397
BaseRepresentation
bin100101001011001001110
32021212221210
410221121032
5302440001
642035250
713232250
oct4513116
92255853
101218126
11762218
124a8b26
133385b0
14239cd0
15190dd6
hex12964e

1218126 has 64 divisors (see below), whose sum is σ = 3161088. Its totient is φ = 304128.

The previous prime is 1218121. The next prime is 1218131. The reversal of 1218126 is 6218121.

1218126 = T116 + T117 + ... + T206.

It is an interprime number because it is at equal distance from previous prime (1218121) and next prime (1218131).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1218121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12510 + ... + 12606.

It is an arithmetic number, because the mean of its divisors is an integer number (49392).

21218126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1218126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580544).

1218126 is an abundant number, since it is smaller than the sum of its proper divisors (1942962).

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

1218126 is a wasteful number, since it uses less digits than its factorization.

1218126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145.

The product of its digits is 192, while the sum is 21.

The square root of 1218126 is about 1103.6874557591. The cubic root of 1218126 is about 106.7982339199.

The spelling of 1218126 in words is "one million, two hundred eighteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 91 97 138 161 182 194 273 291 299 322 483 546 582 598 679 897 966 1261 1358 1794 2037 2093 2231 2522 3783 4074 4186 4462 6279 6693 7566 8827 12558 13386 15617 17654 26481 29003 31234 46851 52962 58006 87009 93702 174018 203021 406042 609063 1218126