Search a number
-
+
68537868 = 22372229509
BaseRepresentation
bin1000001010111…
…00111000001100
311202222002021120
410011130320030
5120021202433
610445000540
71461363600
oct405347014
9152862246
1068537868
1135762573
121ab53150
1311279169
149161500
15603c7b3
hex415ce0c

68537868 has 72 divisors (see below), whose sum is σ = 187210800. Its totient is φ = 19458432.

The previous prime is 68537857. The next prime is 68537927. The reversal of 68537868 is 86873586.

It is a self number, because there is not a number n which added to its sum of digits gives 68537868.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 134398 + ... + 134906.

It is an arithmetic number, because the mean of its divisors is an integer number (2600150).

Almost surely, 268537868 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 68537868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93605400).

68537868 is an abundant number, since it is smaller than the sum of its proper divisors (118672932).

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

68537868 is a wasteful number, since it uses less digits than its factorization.

68537868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 750 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 68537868 is about 8278.7600520851. The cubic root of 68537868 is about 409.2388575360.

The spelling of 68537868 in words is "sixty-eight million, five hundred thirty-seven thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 229 294 458 509 588 687 916 1018 1374 1527 1603 2036 2748 3054 3206 3563 4809 6108 6412 7126 9618 10689 11221 14252 19236 21378 22442 24941 33663 42756 44884 49882 67326 74823 99764 116561 134652 149646 233122 299292 349683 466244 699366 815927 1398732 1631854 2447781 3263708 4895562 5711489 9791124 11422978 17134467 22845956 34268934 68537868