Search a number
-
+
68076768 = 2535771229
BaseRepresentation
bin1000000111011…
…00010011100000
311202002122202210
410003230103200
5114411424033
610431042120
71454433354
oct403542340
9152078683
1068076768
11354780a1
121a970340
1311147316
149081464
155e9ad63
hex40ec4e0

68076768 has 48 divisors (see below), whose sum is σ = 179156880. Its totient is φ = 22634496.

The previous prime is 68076733. The next prime is 68076773. The reversal of 68076768 is 86767086.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54778 + ... + 56006.

It is an arithmetic number, because the mean of its divisors is an integer number (3732435).

Almost surely, 268076768 is an apocalyptic number.

It is an amenable number.

68076768 is an abundant number, since it is smaller than the sum of its proper divisors (111080112).

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

68076768 is a wasteful number, since it uses less digits than its factorization.

68076768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1811 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 68076768 is about 8250.8646819591. The cubic root of 68076768 is about 408.3190507106.

The spelling of 68076768 in words is "sixty-eight million, seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 577 1154 1229 1731 2308 2458 3462 3687 4616 4916 6924 7374 9232 9832 13848 14748 18464 19664 27696 29496 39328 55392 58992 117984 709133 1418266 2127399 2836532 4254798 5673064 8509596 11346128 17019192 22692256 34038384 68076768