Search a number
-
+
121490688 = 2831173197
BaseRepresentation
bin1110011110111…
…00110100000000
322110121100220010
413033130310000
5222100200223
620015544520
73003440154
oct717346400
9273540803
10121490688
116263a830
123482b140
131c2295a7
14121c7064
15a9ec393
hex73dcd00

121490688 has 144 divisors (see below), whose sum is σ = 359384256. Its totient is φ = 36126720.

The previous prime is 121490671. The next prime is 121490717. The reversal of 121490688 is 886094121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616606 + ... + 616802.

It is an arithmetic number, because the mean of its divisors is an integer number (2495724).

Almost surely, 2121490688 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 121490688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179692128).

121490688 is an abundant number, since it is smaller than the sum of its proper divisors (237893568).

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

121490688 is a wasteful number, since it uses less digits than its factorization.

121490688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 121490688 is about 11022.2814335327. The cubic root of 121490688 is about 495.2764336996.

The spelling of 121490688 in words is "one hundred twenty-one million, four hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 73 88 96 128 132 146 176 192 197 219 256 264 292 352 384 394 438 528 584 591 704 768 788 803 876 1056 1168 1182 1408 1576 1606 1752 2112 2167 2336 2364 2409 2816 3152 3212 3504 4224 4334 4672 4728 4818 6304 6424 6501 7008 8448 8668 9344 9456 9636 12608 12848 13002 14016 14381 17336 18688 18912 19272 25216 25696 26004 28032 28762 34672 37824 38544 43143 50432 51392 52008 56064 57524 69344 75648 77088 86286 102784 104016 115048 138688 151296 154176 158191 172572 205568 208032 230096 277376 308352 316382 345144 416064 460192 474573 554752 616704 632764 690288 832128 920384 949146 1265528 1380576 1664256 1840768 1898292 2531056 2761152 3681536 3796584 5062112 5522304 7593168 10124224 11044608 15186336 20248448 30372672 40496896 60745344 121490688