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10404272 = 2417291319
BaseRepresentation
bin100111101100…
…000110110000
3201120120222102
4213230012300
510130414042
61010555532
7154302104
oct47540660
921516872
1010404272
11596697a
123598ba8
132203898
14154b904
15da7b32
hex9ec1b0

10404272 has 40 divisors (see below), whose sum is σ = 22096800. Its totient is φ = 4723712.

The previous prime is 10404259. The next prime is 10404281. The reversal of 10404272 is 27240401.

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 7 ways as a sum of consecutive naturals, for example, 7229 + ... + 8547.

It is an arithmetic number, because the mean of its divisors is an integer number (552420).

Almost surely, 210404272 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 10404272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11048400).

10404272 is an abundant number, since it is smaller than the sum of its proper divisors (11692528).

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

10404272 is a wasteful number, since it uses less digits than its factorization.

10404272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 10404272 is about 3225.5653767983. The cubic root of 10404272 is about 218.3084598952.

Adding to 10404272 its reverse (27240401), we get a palindrome (37644673).

The spelling of 10404272 in words is "ten million, four hundred four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1319 1972 2638 3944 5276 7888 10552 21104 22423 38251 44846 76502 89692 153004 179384 306008 358768 612016 650267 1300534 2601068 5202136 10404272