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10393300 = 225237532
BaseRepresentation
bin100111101001…
…011011010100
3201120000221001
4213221123110
510130041200
61010433044
7154225111
oct47513324
921500831
1010393300
115959705
123592784
1321cb8a8
141547908
15da476a
hex9e96d4

10393300 has 54 divisors (see below), whose sum is σ = 23608298. Its totient is φ = 3968640.

The previous prime is 10393297. The next prime is 10393303. The reversal of 10393300 is 339301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10393297) and next prime (10393303).

It can be written as a sum of positive squares in 9 ways, for example, as 63504 + 10329796 = 252^2 + 3214^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10393303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 196074 + ... + 196126.

Almost surely, 210393300 is an apocalyptic number.

10393300 is a gapful number since it is divisible by the number (10) 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 10393300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11804149).

10393300 is an abundant number, since it is smaller than the sum of its proper divisors (13214998).

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

10393300 is a wasteful number, since it uses less digits than its factorization.

10393300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 19.

The square root of 10393300 is about 3223.8641410581. The cubic root of 10393300 is about 218.2316926176.

The spelling of 10393300 in words is "ten million, three hundred ninety-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 53 74 100 106 148 185 212 265 370 530 740 925 1060 1325 1850 1961 2650 2809 3700 3922 5300 5618 7844 9805 11236 14045 19610 28090 39220 49025 56180 70225 98050 103933 140450 196100 207866 280900 415732 519665 1039330 2078660 2598325 5196650 10393300