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10272096 = 25351321
BaseRepresentation
bin100111001011…
…110101100000
3201022212200000
4213023311200
510112201341
61004100000
7153211542
oct47136540
921285600
1010272096
11588663a
123534600
132188683
141515692
15d7d8b6
hex9cbd60

10272096 has 72 divisors (see below), whose sum is σ = 30316104. Its totient is φ = 3421440.

The previous prime is 10272083. The next prime is 10272127. The reversal of 10272096 is 69027201.

10272096 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7116 + ... + 8436.

It is an arithmetic number, because the mean of its divisors is an integer number (421057).

Almost surely, 210272096 is an apocalyptic number.

10272096 is a gapful number since it is divisible by the number (16) 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 10272096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15158052).

10272096 is an abundant number, since it is smaller than the sum of its proper divisors (20044008).

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

10272096 is an equidigital number, since it uses as much as digits as its factorization.

10272096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10272096 is about 3205.0110764239. The cubic root of 10272096 is about 217.3800527695.

Adding to 10272096 its reverse (69027201), we get a palindrome (79299297).

The spelling of 10272096 in words is "ten million, two hundred seventy-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1321 1944 2592 2642 3888 3963 5284 7776 7926 10568 11889 15852 21136 23778 31704 35667 42272 47556 63408 71334 95112 107001 126816 142668 190224 214002 285336 321003 380448 428004 570672 642006 856008 1141344 1284012 1712016 2568024 3424032 5136048 10272096