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1214136 = 233371173
BaseRepresentation
bin100101000011010111000
32021200111000
410220122320
5302323021
642005000
713214520
oct4503270
92250430
101214136
1175a220
124a6760
13336831
14238680
1518eb26
hex1286b8

1214136 has 128 divisors (see below), whose sum is σ = 4262400. Its totient is φ = 311040.

The previous prime is 1214131. The next prime is 1214137. The reversal of 1214136 is 6314121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214131) 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, 16596 + ... + 16668.

It is an arithmetic number, because the mean of its divisors is an integer number (33300).

21214136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2131200).

1214136 is an abundant number, since it is smaller than the sum of its proper divisors (3048264).

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

1214136 is a wasteful number, since it uses less digits than its factorization.

1214136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 96 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 1214136 is about 1101.8783961944. The cubic root of 1214136 is about 106.6814996733.

Adding to 1214136 its reverse (6314121), we get a palindrome (7528257).

The spelling of 1214136 in words is "one million, two hundred fourteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 73 77 84 88 99 108 126 132 146 154 168 189 198 216 219 231 252 264 292 297 308 378 396 438 462 504 511 584 594 616 657 693 756 792 803 876 924 1022 1188 1314 1386 1512 1533 1606 1752 1848 1971 2044 2079 2376 2409 2628 2772 3066 3212 3942 4088 4158 4599 4818 5256 5544 5621 6132 6424 7227 7884 8316 9198 9636 11242 12264 13797 14454 15768 16632 16863 18396 19272 21681 22484 27594 28908 33726 36792 43362 44968 50589 55188 57816 67452 86724 101178 110376 134904 151767 173448 202356 303534 404712 607068 1214136