Search a number
-
+
258103000 = 23531991297
BaseRepresentation
bin11110110001001…
…01011011011000
3122222122222202101
433120211123120
51012033244000
641340013144
76252560611
oct1730453330
9588588671
10258103000
11122768671
12725311b4
134161b98c
14263c8c08
15179d4e6a
hexf6256d8

258103000 has 64 divisors (see below), whose sum is σ = 607464000. Its totient is φ = 102643200.

The previous prime is 258102997. The next prime is 258103067. The reversal of 258103000 is 301852.

It is a happy number.

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, 198352 + ... + 199648.

It is an arithmetic number, because the mean of its divisors is an integer number (9491625).

Almost surely, 2258103000 is an apocalyptic number.

258103000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303732000).

258103000 is an abundant number, since it is smaller than the sum of its proper divisors (349361000).

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

258103000 is a wasteful number, since it uses less digits than its factorization.

258103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 258103000 is about 16065.5843342220. The cubic root of 258103000 is about 636.6943815620.

Adding to 258103000 its reverse (301852), we get a palindrome (258404852).

The spelling of 258103000 in words is "two hundred fifty-eight million, one hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 199 200 250 398 500 796 995 1000 1297 1592 1990 2594 3980 4975 5188 6485 7960 9950 10376 12970 19900 24875 25940 32425 39800 49750 51880 64850 99500 129700 162125 199000 258103 259400 324250 516206 648500 1032412 1290515 1297000 2064824 2581030 5162060 6452575 10324120 12905150 25810300 32262875 51620600 64525750 129051500 258103000