Search a number
-
+
10043000 = 235311283
BaseRepresentation
bin100110010011…
…111001111000
3200220020101222
4212103321320
510032334000
6555131212
7151235612
oct46237170
920806358
1010043000
11573a500
123443b08
132108306
141495db2
15d35a85
hex993e78

10043000 has 96 divisors (see below), whose sum is σ = 26142480. Its totient is φ = 3608000.

The previous prime is 10042993. The next prime is 10043009. The reversal of 10043000 is 34001.

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 (10043009) 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 23 ways as a sum of consecutive naturals, for example, 120959 + ... + 121041.

Almost surely, 210043000 is an apocalyptic number.

10043000 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 10043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13071240).

10043000 is an abundant number, since it is smaller than the sum of its proper divisors (16099480).

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

10043000 is a wasteful number, since it uses less digits than its factorization.

10043000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 10043000 is about 3169.0692639953. The cubic root of 10043000 is about 215.7518297465.

Adding to 10043000 its reverse (34001), we get a palindrome (10077001).

It can be divided in two parts, 1004 and 3000, that added together give a palindrome (4004).

The spelling of 10043000 in words is "ten million, forty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 83 88 100 110 121 125 166 200 220 242 250 275 332 415 440 484 500 550 605 664 830 913 968 1000 1100 1210 1375 1660 1826 2075 2200 2420 2750 3025 3320 3652 4150 4565 4840 5500 6050 7304 8300 9130 10043 10375 11000 12100 15125 16600 18260 20086 20750 22825 24200 30250 36520 40172 41500 45650 50215 60500 80344 83000 91300 100430 114125 121000 182600 200860 228250 251075 401720 456500 502150 913000 1004300 1255375 2008600 2510750 5021500 10043000