Search a number
-
+
10430000 = 24547149
BaseRepresentation
bin100111110010…
…011000110000
3201121220021022
4213302120300
510132230000
61011315012
7154440110
oct47623060
921556238
1010430000
115984239
1235aba68
1322124c9
141557040
15db0585
hex9f2630

10430000 has 100 divisors (see below), whose sum is σ = 29053200. Its totient is φ = 3552000.

The previous prime is 10429987. The next prime is 10430011. The reversal of 10430000 is 3401.

Adding to 10430000 its reverse (3401), we get a palindrome (10433401).

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10430000.

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 19 ways as a sum of consecutive naturals, for example, 69926 + ... + 70074.

It is an arithmetic number, because the mean of its divisors is an integer number (290532).

Almost surely, 210430000 is an apocalyptic number.

10430000 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 10430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14526600).

10430000 is an abundant number, since it is smaller than the sum of its proper divisors (18623200).

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

10430000 is an equidigital number, since it uses as much as digits as its factorization.

10430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 163 counting only the distinct ones).

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

The square root of 10430000 is about 3229.5510523910. The cubic root of 10430000 is about 218.4882583709.

The spelling of 10430000 in words is "ten million, four hundred thirty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 149 175 200 250 280 298 350 400 500 560 596 625 700 745 875 1000 1043 1192 1250 1400 1490 1750 2000 2086 2384 2500 2800 2980 3500 3725 4172 4375 5000 5215 5960 7000 7450 8344 8750 10000 10430 11920 14000 14900 16688 17500 18625 20860 26075 29800 35000 37250 41720 52150 59600 70000 74500 83440 93125 104300 130375 149000 186250 208600 260750 298000 372500 417200 521500 651875 745000 1043000 1303750 1490000 2086000 2607500 5215000 10430000