Search a number
-
+
118979328 = 2831317701
BaseRepresentation
bin1110001011101…
…11101100000000
322021212202221210
413011313230000
5220424314303
615450050120
72643210336
oct705675400
9267782853
10118979328
1161184a26
1233a19940
131b85a490
1411b31b56
15a6a3203
hex7177b00

118979328 has 144 divisors (see below), whose sum is σ = 361591776. Its totient is φ = 34406400.

The previous prime is 118979321. The next prime is 118979363. The reversal of 118979328 is 823979811.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118979321) by changing a digit.

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, 169378 + ... + 170078.

It is an arithmetic number, because the mean of its divisors is an integer number (2511054).

Almost surely, 2118979328 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 118979328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180795888).

118979328 is an abundant number, since it is smaller than the sum of its proper divisors (242612448).

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

118979328 is a wasteful number, since it uses less digits than its factorization.

118979328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 736 counting only the distinct ones).

The product of its digits is 217728, while the sum is 48.

The square root of 118979328 is about 10907.7645739171. The cubic root of 118979328 is about 491.8399902697.

The spelling of 118979328 in words is "one hundred eighteen million, nine hundred seventy-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 256 272 312 384 408 416 442 544 624 663 701 768 816 832 884 1088 1248 1326 1402 1632 1664 1768 2103 2176 2496 2652 2804 3264 3328 3536 4206 4352 4992 5304 5608 6528 7072 8412 9113 9984 10608 11216 11917 13056 14144 16824 18226 21216 22432 23834 27339 28288 33648 35751 36452 42432 44864 47668 54678 56576 67296 71502 72904 84864 89728 95336 109356 134592 143004 145808 154921 169728 179456 190672 218712 269184 286008 291616 309842 381344 437424 464763 538368 572016 583232 619684 762688 874848 929526 1144032 1166464 1239368 1525376 1749696 1859052 2288064 2332928 2478736 3050752 3499392 3718104 4576128 4957472 6998784 7436208 9152256 9914944 14872416 19829888 29744832 39659776 59489664 118979328