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10272304 = 247412237
BaseRepresentation
bin100111001011…
…111000110000
3201022212221201
4213023320300
510112203204
61004100544
7153212260
oct47137060
921285851
1010272304
115886809
123534754
1321887b3
1415157a0
15d7d9a4
hex9cbe30

10272304 has 40 divisors (see below), whose sum is σ = 23311008. Its totient is φ = 4293120.

The previous prime is 10272299. The next prime is 10272319. The reversal of 10272304 is 40327201.

10272304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3474 + ... + 5710.

Almost surely, 210272304 is an apocalyptic number.

10272304 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 10272304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11655504).

10272304 is an abundant number, since it is smaller than the sum of its proper divisors (13038704).

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

10272304 is a wasteful number, since it uses less digits than its factorization.

10272304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 10272304 is about 3205.0435254455. The cubic root of 10272304 is about 217.3815200049.

Adding to 10272304 its reverse (40327201), we get a palindrome (50599505).

The spelling of 10272304 in words is "ten million, two hundred seventy-two thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 1148 2237 2296 4474 4592 8948 15659 17896 31318 35792 62636 91717 125272 183434 250544 366868 642019 733736 1284038 1467472 2568076 5136152 10272304