Search a number
-
+
68761968 = 24311314201
BaseRepresentation
bin1000001100100…
…11100101110000
311210101110200120
410012103211300
5120100340333
610453450240
71463316132
oct406234560
9153343616
1068761968
11358a5980
121b040980
1311327172
1491bd052
156083db3
hex4193970

68761968 has 80 divisors (see below), whose sum is σ = 200082432. Its totient is φ = 20160000.

The previous prime is 68761967. The next prime is 68762003. The reversal of 68761968 is 86916786.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 68761968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68761967) 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 15 ways as a sum of consecutive naturals, for example, 14268 + ... + 18468.

Almost surely, 268761968 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 68761968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100041216).

68761968 is an abundant number, since it is smaller than the sum of its proper divisors (131320464).

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

68761968 is a wasteful number, since it uses less digits than its factorization.

68761968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4254 (or 4248 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The square root of 68761968 is about 8292.2836420373. The cubic root of 68761968 is about 409.6844051622.

The spelling of 68761968 in words is "sixty-eight million, seven hundred sixty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2728 4092 4201 5456 8184 8402 12603 16368 16804 25206 33608 46211 50412 67216 92422 100824 130231 138633 184844 201648 260462 277266 369688 390693 520924 554532 739376 781386 1041848 1109064 1432541 1562772 2083696 2218128 2865082 3125544 4297623 5730164 6251088 8595246 11460328 17190492 22920656 34380984 68761968