Search a number
-
+
68743512 = 23331797193
BaseRepresentation
bin1000001100011…
…11000101011000
311210100112101000
410012033011120
5120044243022
610453225000
71463211255
oct406170530
9153315330
1068743512
1135893022
121b032160
131131b946
1491b642c
15607d6ac
hex418f158

68743512 has 128 divisors (see below), whose sum is σ = 205329600. Its totient is φ = 21233664.

The previous prime is 68743489. The next prime is 68743517. The reversal of 68743512 is 21534786.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68743517) 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 31 ways as a sum of consecutive naturals, for example, 356088 + ... + 356280.

Almost surely, 268743512 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 68743512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102664800).

68743512 is an abundant number, since it is smaller than the sum of its proper divisors (136586088).

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

68743512 is a wasteful number, since it uses less digits than its factorization.

68743512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 68743512 is about 8291.1707255369. The cubic root of 68743512 is about 409.6477482127.

The spelling of 68743512 in words is "sixty-eight million, seven hundred forty-three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 97 102 108 136 153 193 194 204 216 291 306 386 388 408 459 579 582 612 772 776 873 918 1158 1164 1224 1544 1649 1737 1746 1836 2316 2328 2619 3281 3298 3474 3492 3672 4632 4947 5211 5238 6562 6596 6948 6984 9843 9894 10422 10476 13124 13192 13896 14841 18721 19686 19788 20844 20952 26248 29529 29682 37442 39372 39576 41688 44523 56163 59058 59364 74884 78744 88587 89046 112326 118116 118728 149768 168489 177174 178092 224652 236232 318257 336978 354348 356184 449304 505467 636514 673956 708696 954771 1010934 1273028 1347912 1909542 2021868 2546056 2864313 3819084 4043736 5728626 7638168 8592939 11457252 17185878 22914504 34371756 68743512