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10704096 = 253313953
BaseRepresentation
bin101000110101…
…010011100000
3202010211021000
4220311103200
510220012341
61021232000
7156661164
oct50652340
922124230
1010704096
116051167
123702600
1322aa1b0
1415c8ca4
15e168b6
hexa354e0

10704096 has 96 divisors (see below), whose sum is σ = 33657120. Its totient is φ = 3290112.

The previous prime is 10704091. The next prime is 10704143. The reversal of 10704096 is 69040701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×107040962 = 229155342354432, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10704091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10756 + ... + 11708.

It is an arithmetic number, because the mean of its divisors is an integer number (350595).

Almost surely, 210704096 is an apocalyptic number.

10704096 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 10704096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16828560).

10704096 is an abundant number, since it is smaller than the sum of its proper divisors (22953024).

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

10704096 is a wasteful number, since it uses less digits than its factorization.

10704096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 971 counting only the distinct ones).

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

The square root of 10704096 is about 3271.7114787218. The cubic root of 10704096 is about 220.3856596324.

Adding to 10704096 its reverse (69040701), we get a palindrome (79744797).

The spelling of 10704096 in words is "ten million, seven hundred four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 953 1248 1404 1872 1906 2808 2859 3744 3812 5616 5718 7624 8577 11232 11436 12389 15248 17154 22872 24778 25731 30496 34308 37167 45744 49556 51462 68616 74334 91488 99112 102924 111501 137232 148668 198224 205848 223002 274464 297336 334503 396448 411696 446004 594672 669006 823392 892008 1189344 1338012 1784016 2676024 3568032 5352048 10704096