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10300104 = 2332294933
BaseRepresentation
bin100111010010…
…101011001000
3201101022002100
4213102223020
510114100404
61004433400
7153356313
oct47225310
921338070
1010300104
1158a5691
123548860
132198349
14152197a
15d86d39
hex9d2ac8

10300104 has 48 divisors (see below), whose sum is σ = 28863900. Its totient is φ = 3314304.

The previous prime is 10300093. The next prime is 10300151. The reversal of 10300104 is 40100301.

It can be written as a sum of positive squares in 2 ways, for example, as 10227204 + 72900 = 3198^2 + 270^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 379 + ... + 4554.

Almost surely, 210300104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10300104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14431950).

10300104 is an abundant number, since it is smaller than the sum of its proper divisors (18563796).

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

10300104 is a wasteful number, since it uses less digits than its factorization.

10300104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 4967 counting only the distinct ones).

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

The square root of 10300104 is about 3209.3775097361. The cubic root of 10300104 is about 217.5774436863.

Adding to 10300104 its reverse (40100301), we get a palindrome (50400405).

It can be divided in two parts, 10300 and 104, that added together give a square (10404 = 1022).

The spelling of 10300104 in words is "ten million, three hundred thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 4933 9866 14799 19732 29598 39464 44397 59196 88794 118392 143057 177588 286114 355176 429171 572228 858342 1144456 1287513 1716684 2575026 3433368 5150052 10300104