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10010304 = 26341931
BaseRepresentation
bin100110001011…
…111011000000
3200211120120000
4212023323000
510030312204
6554320000
7151041363
oct46137300
920746500
1010010304
115717987
123429000
1320c6475
1414880da
15d2b039
hex98bec0

10010304 has 70 divisors (see below), whose sum is σ = 29689044. Its totient is φ = 3335040.

The previous prime is 10010293. The next prime is 10010311. The reversal of 10010304 is 40301001.

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

It is a nialpdrome in base 6.

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 9 ways as a sum of consecutive naturals, for example, 4219 + ... + 6149.

Almost surely, 210010304 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 10010304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14844522).

10010304 is an abundant number, since it is smaller than the sum of its proper divisors (19678740).

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

10010304 is an equidigital number, since it uses as much as digits as its factorization.

10010304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1955 (or 1936 counting only the distinct ones).

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

The square root of 10010304 is about 3163.9064461517. The cubic root of 10010304 is about 215.5174412522.

Adding to 10010304 its reverse (40301001), we get a palindrome (50311305).

It can be divided in two parts, 100 and 10304, that added together give a square (10404 = 1022).

The spelling of 10010304 in words is "ten million, ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 1931 2592 3862 5184 5793 7724 11586 15448 17379 23172 30896 34758 46344 52137 61792 69516 92688 104274 123584 139032 156411 185376 208548 278064 312822 370752 417096 556128 625644 834192 1112256 1251288 1668384 2502576 3336768 5005152 10010304