Search a number
-
+
68416056 = 2333383827
BaseRepresentation
bin1000001001111…
…11001000111000
311202201220012000
410010333020320
5120003303211
610442221000
71460345502
oct404771070
9152656160
1068416056
1135689aa5
121aab4760
1311235897
14912cd72
156016656
hex413f238

68416056 has 64 divisors (see below), whose sum is σ = 190771200. Its totient is φ = 22718304.

The previous prime is 68416013. The next prime is 68416069. The reversal of 68416056 is 65061486.

68416056 is a `hidden beast` number, since 6 + 8 + 41 + 605 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 68416056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82315 + ... + 83141.

It is an arithmetic number, because the mean of its divisors is an integer number (2980800).

Almost surely, 268416056 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 68416056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95385600).

68416056 is an abundant number, since it is smaller than the sum of its proper divisors (122355144).

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

68416056 is a wasteful number, since it uses less digits than its factorization.

68416056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 68416056 is about 8271.3998815195. The cubic root of 68416056 is about 408.9962677230.

The spelling of 68416056 in words is "sixty-eight million, four hundred sixteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 383 766 827 1149 1532 1654 2298 2481 3064 3308 3447 4596 4962 6616 6894 7443 9192 9924 10341 13788 14886 19848 20682 22329 27576 29772 41364 44658 59544 82728 89316 178632 316741 633482 950223 1266964 1900446 2533928 2850669 3800892 5701338 7601784 8552007 11402676 17104014 22805352 34208028 68416056