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10103328 = 253235081
BaseRepresentation
bin100110100010…
…101000100000
3201000022011100
4212202220200
510041301303
61000314400
7151606524
oct46425040
921008140
1010103328
115780864
123472a00
132129901
1414add84
15d488a3
hex9a2a20

10103328 has 36 divisors (see below), whose sum is σ = 28732158. Its totient is φ = 3367680.

The previous prime is 10103311. The next prime is 10103351. The reversal of 10103328 is 82330101.

It can be written as a sum of positive squares in only one way, i.e., 6906384 + 3196944 = 2628^2 + 1788^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10103328.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17253 + ... + 17828.

Almost surely, 210103328 is an apocalyptic number.

10103328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10103328 is an abundant number, since it is smaller than the sum of its proper divisors (18628830).

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

10103328 is a wasteful number, since it uses less digits than its factorization.

10103328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35097 (or 35086 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10103328 is about 3178.5732648470. The cubic root of 10103328 is about 216.1829725331.

Adding to 10103328 its reverse (82330101), we get a palindrome (92433429).

The spelling of 10103328 in words is "ten million, one hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 35081 70162 105243 140324 210486 280648 315729 420972 561296 631458 841944 1122592 1262916 1683888 2525832 3367776 5051664 10103328