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68787768 = 23372292017
BaseRepresentation
bin1000001100110…
…01111000111000
311210102210002010
410012121320320
5120102202033
610454205520
71463454300
oct406317070
9153383063
1068787768
11359132a5
121b0538a0
1311335b2a
1491c8600
15608b863
hex4199e38

68787768 has 96 divisors (see below), whose sum is σ = 207046800. Its totient is φ = 18966528.

The previous prime is 68787751. The next prime is 68787769. The reversal of 68787768 is 86778786.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (6322176) is a multiple of the sum of its prime divisors (2058).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68787769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33096 + ... + 35112.

Almost surely, 268787768 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 68787768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103523400).

68787768 is an abundant number, since it is smaller than the sum of its proper divisors (138259032).

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

68787768 is a wasteful number, since it uses less digits than its factorization.

68787768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2058 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 57.

The square root of 68787768 is about 8293.8391592796. The cubic root of 68787768 is about 409.7356376302.

The spelling of 68787768 in words is "sixty-eight million, seven hundred eighty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 49 56 58 84 87 98 116 147 168 174 196 203 232 294 348 392 406 588 609 696 812 1176 1218 1421 1624 2017 2436 2842 4034 4263 4872 5684 6051 8068 8526 11368 12102 14119 16136 17052 24204 28238 34104 42357 48408 56476 58493 84714 98833 112952 116986 169428 175479 197666 233972 296499 338856 350958 395332 409451 467944 592998 701916 790664 818902 1185996 1228353 1403832 1637804 2371992 2456706 2866157 3275608 4913412 5732314 8598471 9826824 11464628 17196942 22929256 34393884 68787768