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10118304 = 253372239
BaseRepresentation
bin100110100110…
…010010100000
3201001001201000
4212212102200
510042241204
61000512000
7152001300
oct46462240
921031630
1010118304
115791039
12347b600
132133681
1414b5600
15d4d039
hex9a64a0

10118304 has 144 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 2878848.

The previous prime is 10118299. The next prime is 10118377. The reversal of 10118304 is 40381101.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42217 + ... + 42455.

It is an arithmetic number, because the mean of its divisors is an integer number (239400).

Almost surely, 210118304 is an apocalyptic number.

10118304 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 10118304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

10118304 is an abundant number, since it is smaller than the sum of its proper divisors (24355296).

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

10118304 is a wasteful number, since it uses less digits than its factorization.

10118304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10118304 is about 3180.9281664319. The cubic root of 10118304 is about 216.2897346434.

Adding to 10118304 its reverse (40381101), we get a palindrome (50499405).

The spelling of 10118304 in words is "ten million, one hundred eighteen thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 239 252 288 294 336 378 392 432 441 478 504 588 672 717 756 784 864 882 956 1008 1176 1323 1434 1512 1568 1673 1764 1912 2016 2151 2352 2646 2868 3024 3346 3528 3824 4302 4704 5019 5292 5736 6048 6453 6692 7056 7648 8604 10038 10584 11472 11711 12906 13384 14112 15057 17208 20076 21168 22944 23422 25812 26768 30114 34416 35133 40152 42336 45171 46844 51624 53536 60228 68832 70266 80304 90342 93688 103248 105399 120456 140532 160608 180684 187376 206496 210798 240912 281064 316197 361368 374752 421596 481824 562128 632394 722736 843192 1124256 1264788 1445472 1686384 2529576 3372768 5059152 10118304