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10041304 = 2371321061
BaseRepresentation
bin100110010011…
…011111011000
3200220011002011
4212103133120
510032310204
6555115304
7151230640
oct46233730
920804064
1010041304
1157391a9
123442b34
132107600
141495520
15d35304
hex9937d8

10041304 has 48 divisors (see below), whose sum is σ = 23321520. Its totient is φ = 3968640.

The previous prime is 10041301. The next prime is 10041307. The reversal of 10041304 is 40314001.

10041304 = T237 + T238 + ... + T418.

It is an interprime number because it is at equal distance from previous prime (10041301) and next prime (10041307).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041301) 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 11 ways as a sum of consecutive naturals, for example, 8934 + ... + 9994.

It is an arithmetic number, because the mean of its divisors is an integer number (485865).

Almost surely, 210041304 is an apocalyptic number.

10041304 is a gapful number since it is divisible by the number (14) 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 10041304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11660760).

10041304 is an abundant number, since it is smaller than the sum of its proper divisors (13280216).

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

10041304 is a wasteful number, since it uses less digits than its factorization.

10041304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 10041304 is about 3168.8016662455. The cubic root of 10041304 is about 215.7396841159.

Adding to 10041304 its reverse (40314001), we get a palindrome (50355305).

The spelling of 10041304 in words is "ten million, forty-one thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1061 1183 1352 2122 2366 4244 4732 7427 8488 9464 13793 14854 27586 29708 55172 59416 96551 110344 179309 193102 358618 386204 717236 772408 1255163 1434472 2510326 5020652 10041304