Search a number
-
+
68757336 = 2335113313
BaseRepresentation
bin1000001100100…
…10011101011000
311210101020100000
410012102131120
5120100213321
610453413000
71463266464
oct406223530
9153336300
1068757336
11358a244a
121b03a160
131132501b
1491bb4a4
156082826
hex4192758

68757336 has 96 divisors (see below), whose sum is σ = 195446160. Its totient is φ = 22643712.

The previous prime is 68757331. The next prime is 68757389. The reversal of 68757336 is 63375786.

It is a junction number, because it is equal to n+sod(n) for n = 68757291 and 68757300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68757331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219516 + ... + 219828.

Almost surely, 268757336 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 68757336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97723080).

68757336 is an abundant number, since it is smaller than the sum of its proper divisors (126688824).

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

68757336 is a wasteful number, since it uses less digits than its factorization.

68757336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 431 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 68757336 is about 8292.0043415329. The cubic root of 68757336 is about 409.6752057902.

The spelling of 68757336 in words is "sixty-eight million, seven hundred fifty-seven thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 113 162 216 226 243 313 324 339 452 486 626 648 678 904 939 972 1017 1252 1356 1878 1944 2034 2504 2712 2817 3051 3756 4068 5634 6102 7512 8136 8451 9153 11268 12204 16902 18306 22536 24408 25353 27459 33804 35369 36612 50706 54918 67608 70738 73224 76059 101412 106107 109836 141476 152118 202824 212214 219672 282952 304236 318321 424428 608472 636642 848856 954963 1273284 1909926 2546568 2864889 3819852 5729778 7639704 8594667 11459556 17189334 22919112 34378668 68757336