Search a number
-
+
121446108 = 22337253433
BaseRepresentation
bin1110011110100…
…01111011011100
322110112002202000
413033101323130
5222042233413
620015002300
73003163200
oct717217334
9273462660
10121446108
116260a293
1234809390
131c212204
14121b4b00
15a9de073
hex73d1edc

121446108 has 144 divisors (see below), whose sum is σ = 374038560. Its totient is φ = 33965568.

The previous prime is 121446103. The next prime is 121446109. The reversal of 121446108 is 801644121.

It is a happy number.

121446108 is a `hidden beast` number, since 1 + 2 + 1 + 44 + 610 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121446103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280260 + ... + 280692.

It is an arithmetic number, because the mean of its divisors is an integer number (2597490).

Almost surely, 2121446108 is an apocalyptic number.

121446108 is a gapful number since it is divisible by the number (18) 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 121446108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187019280).

121446108 is an abundant number, since it is smaller than the sum of its proper divisors (252592452).

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

121446108 is a wasteful number, since it uses less digits than its factorization.

121446108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 121446108 is about 11020.2589806229. The cubic root of 121446108 is about 495.2158470957.

The spelling of 121446108 in words is "one hundred twenty-one million, four hundred forty-six thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 53 54 63 84 98 106 108 126 147 159 189 196 212 252 294 318 371 378 433 441 477 588 636 742 756 866 882 954 1113 1299 1323 1431 1484 1732 1764 1908 2226 2597 2598 2646 2862 3031 3339 3897 4452 5194 5196 5292 5724 6062 6678 7791 7794 9093 10017 10388 11691 12124 13356 15582 15588 18186 20034 21217 22949 23373 23382 27279 31164 36372 40068 42434 45898 46746 46764 54558 63651 68847 70119 81837 84868 91796 93492 109116 127302 137694 140238 160643 163674 190953 206541 254604 275388 280476 321286 327348 381906 413082 481929 572859 619623 642572 763812 826164 963858 1124501 1145718 1239246 1445787 1927716 2249002 2291436 2478492 2891574 3373503 4337361 4498004 5783148 6747006 8674722 10120509 13494012 17349444 20241018 30361527 40482036 60723054 121446108