Search a number
-
+
108023058 = 23411134663
BaseRepresentation
bin1100111000001…
…00110100010010
321112021010210000
412130010310102
5210123214213
614415150430
72451116013
oct634046422
9245233700
10108023058
1155a81360
1230215416
13194c2590
14104bd00a
15973bc73
hex6704d12

108023058 has 80 divisors (see below), whose sum is σ = 284429376. Its totient is φ = 30209760.

The previous prime is 108023023. The next prime is 108023059. The reversal of 108023058 is 850320801.

It is a happy number.

It is a super-3 number, since 3×1080230583 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (108023059) 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 39 ways as a sum of consecutive naturals, for example, 20835 + ... + 25497.

Almost surely, 2108023058 is an apocalyptic number.

108023058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108023058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142214688).

108023058 is an abundant number, since it is smaller than the sum of its proper divisors (176406318).

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

108023058 is a wasteful number, since it uses less digits than its factorization.

108023058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4701 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 108023058 is about 10393.4141647488. The cubic root of 108023058 is about 476.2542041913.

Adding to 108023058 its reverse (850320801), we get a palindrome (958343859).

The spelling of 108023058 in words is "one hundred eight million, twenty-three thousand, fifty-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 198 234 286 297 351 429 594 702 858 891 1053 1287 1782 2106 2574 3861 4663 7722 9326 11583 13989 23166 27978 41967 51293 60619 83934 102586 121238 125901 153879 181857 251802 307758 363714 377703 461637 545571 666809 755406 923274 1091142 1333618 1384911 1636713 2000427 2769822 3273426 4000854 4154733 4910139 6001281 8309466 9820278 12002562 18003843 36007686 54011529 108023058