Search a number
-
+
10115000 = 23547172
BaseRepresentation
bin100110100101…
…011110111000
3201000220011122
4212211132320
510042140000
61000444412
7151655540
oct46453670
921026148
1010115000
115789605
123479708
13213200c
1414b4320
15d4c085
hex9a57b8

10115000 has 120 divisors (see below), whose sum is σ = 28772040. Its totient is φ = 3264000.

The previous prime is 10114981. The next prime is 10115003. The reversal of 10115000 is 51101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10115003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 594992 + ... + 595008.

It is an arithmetic number, because the mean of its divisors is an integer number (239767).

Almost surely, 210115000 is an apocalyptic number.

10115000 is a gapful number since it is divisible by the number (10) 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 10115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14386020).

10115000 is an abundant number, since it is smaller than the sum of its proper divisors (18657040).

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

10115000 is an equidigital number, since it uses as much as digits as its factorization.

10115000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 8.

The square root of 10115000 is about 3180.4087787579. The cubic root of 10115000 is about 216.2661898846.

Adding to 10115000 its reverse (51101), we get a palindrome (10166101).

The spelling of 10115000 in words is "ten million, one hundred fifteen thousand".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 125 136 140 170 175 200 238 250 280 289 340 350 425 476 500 578 595 625 680 700 850 875 952 1000 1156 1190 1250 1400 1445 1700 1750 2023 2125 2312 2380 2500 2890 2975 3400 3500 4046 4250 4375 4760 5000 5780 5950 7000 7225 8092 8500 8750 10115 10625 11560 11900 14450 14875 16184 17000 17500 20230 21250 23800 28900 29750 35000 36125 40460 42500 50575 57800 59500 72250 74375 80920 85000 101150 119000 144500 148750 180625 202300 252875 289000 297500 361250 404600 505750 595000 722500 1011500 1264375 1445000 2023000 2528750 5057500 10115000