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103903296 = 263797797
BaseRepresentation
bin1100011000101…
…11000001000000
321020111211112020
412030113001000
5203044401141
614151001440
72401110030
oct614270100
9236454466
10103903296
11537180a2
122a969280
13186ac353
14db298c0
1591c6266
hex6317040

103903296 has 112 divisors (see below), whose sum is σ = 317821056. Its totient is φ = 29343744.

The previous prime is 103903291. The next prime is 103903357. The reversal of 103903296 is 692309301.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (103903291) 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, 129970 + ... + 130766.

It is an arithmetic number, because the mean of its divisors is an integer number (2837688).

Almost surely, 2103903296 is an apocalyptic number.

103903296 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 103903296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158910528).

103903296 is an abundant number, since it is smaller than the sum of its proper divisors (213917760).

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

103903296 is an equidigital number, since it uses as much as digits as its factorization.

103903296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 103903296 is about 10193.2966208190. The cubic root of 103903296 is about 470.1211337087.

The spelling of 103903296 in words is "one hundred three million, nine hundred three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 97 112 168 192 194 224 291 336 388 448 582 672 679 776 797 1164 1344 1358 1552 1594 2037 2328 2391 2716 3104 3188 4074 4656 4782 5432 5579 6208 6376 8148 9312 9564 10864 11158 12752 16296 16737 18624 19128 21728 22316 25504 32592 33474 38256 43456 44632 51008 65184 66948 76512 77309 89264 130368 133896 153024 154618 178528 231927 267792 309236 357056 463854 535584 541163 618472 927708 1071168 1082326 1236944 1623489 1855416 2164652 2473888 3246978 3710832 4329304 4947776 6493956 7421664 8658608 12987912 14843328 17317216 25975824 34634432 51951648 103903296