Search a number
-
+
10104300 = 223252103109
BaseRepresentation
bin100110100010…
…110111101100
3201000100111100
4212202313230
510041314200
61000323100
7151612413
oct46426754
921010440
1010104300
115781568
123473490
13212a19b
1414b047a
15d48d00
hex9a2dec

10104300 has 108 divisors (see below), whose sum is σ = 32272240. Its totient is φ = 2643840.

The previous prime is 10104287. The next prime is 10104301. The reversal of 10104300 is 340101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10104301) 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 35 ways as a sum of consecutive naturals, for example, 92646 + ... + 92754.

Almost surely, 210104300 is an apocalyptic number.

10104300 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 10104300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16136120).

10104300 is an abundant number, since it is smaller than the sum of its proper divisors (22167940).

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

10104300 is a wasteful number, since it uses less digits than its factorization.

10104300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10104300 is about 3178.7261599578. The cubic root of 10104300 is about 216.1899050050.

Adding to 10104300 its reverse (340101), we get a palindrome (10444401).

It can be divided in two parts, 10104 and 300, that added together give a square (10404 = 1022).

The spelling of 10104300 in words is "ten million, one hundred four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 103 109 150 180 206 218 225 300 309 327 412 436 450 515 545 618 654 900 927 981 1030 1090 1236 1308 1545 1635 1854 1962 2060 2180 2575 2725 3090 3270 3708 3924 4635 4905 5150 5450 6180 6540 7725 8175 9270 9810 10300 10900 11227 15450 16350 18540 19620 22454 23175 24525 30900 32700 33681 44908 46350 49050 56135 67362 92700 98100 101043 112270 134724 168405 202086 224540 280675 336810 404172 505215 561350 673620 842025 1010430 1122700 1684050 2020860 2526075 3368100 5052150 10104300