Search a number
-
+
68256760 = 235111311933
BaseRepresentation
bin1000001000110…
…00001111111000
311202102210200011
410010120033320
5114433204020
610434551304
71456113205
oct404301770
9152383604
1068256760
1135590350
121aa38534
13111ab220
1490cacac
155ed435a
hex41183f8

68256760 has 64 divisors (see below), whose sum is σ = 180442080. Its totient is φ = 22909440.

The previous prime is 68256707. The next prime is 68256767. The reversal of 68256760 is 6765286.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68256767) 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, 247 + ... + 11686.

Almost surely, 268256760 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 68256760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90221040).

68256760 is an abundant number, since it is smaller than the sum of its proper divisors (112185320).

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

68256760 is a wasteful number, since it uses less digits than its factorization.

68256760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11968 (or 11964 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 68256760 is about 8261.7649446108. The cubic root of 68256760 is about 408.6785932678.

The spelling of 68256760 in words is "sixty-eight million, two hundred fifty-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5720 11933 23866 47732 59665 95464 119330 131263 155129 238660 262526 310258 477320 525052 620516 656315 775645 1050104 1241032 1312630 1551290 1706419 2625260 3102580 3412838 5250520 6205160 6825676 8532095 13651352 17064190 34128380 68256760