Search a number
-
+
68126960 = 2451177417
BaseRepresentation
bin1000000111110…
…00100011110000
311202012012121202
410003320203300
5114420030320
610432110332
71455032606
oct403704360
9152165552
1068126960
1135501880
121a9953a8
1311164115
149095876
155eaab75
hex40f88f0

68126960 has 40 divisors (see below), whose sum is σ = 172796976. Its totient is φ = 24773120.

The previous prime is 68126959. The next prime is 68126963. The reversal of 68126960 is 6962186.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68126963) 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 7 ways as a sum of consecutive naturals, for example, 37829 + ... + 39588.

Almost surely, 268126960 is an apocalyptic number.

It is an amenable number.

68126960 is an abundant number, since it is smaller than the sum of its proper divisors (104670016).

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

68126960 is a wasteful number, since it uses less digits than its factorization.

68126960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77441 (or 77435 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 68126960 is about 8253.9057421320. The cubic root of 68126960 is about 408.4193752693.

The spelling of 68126960 in words is "sixty-eight million, one hundred twenty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 77417 154834 309668 387085 619336 774170 851587 1238672 1548340 1703174 3096680 3406348 4257935 6193360 6812696 8515870 13625392 17031740 34063480 68126960