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10073200 = 245225183
BaseRepresentation
bin100110011011…
…010001110000
3200221202211111
4212123101300
510034320300
6555523104
7151422634
oct46332160
920852744
1010073200
115760165
123459494
132118c97
1414a2dc4
15d3e9ba
hex99b470

10073200 has 30 divisors (see below), whose sum is σ = 24201824. Its totient is φ = 4029120.

The previous prime is 10073183. The next prime is 10073207. The reversal of 10073200 is 237001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10073207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12192 + ... + 12991.

Almost surely, 210073200 is an apocalyptic number.

10073200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10073200 is an abundant number, since it is smaller than the sum of its proper divisors (14128624).

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

10073200 is a wasteful number, since it uses less digits than its factorization.

10073200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25201 (or 25190 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 10073200 is about 3173.8304932683. The cubic root of 10073200 is about 215.9678735942.

The spelling of 10073200 in words is "ten million, seventy-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 25183 50366 100732 125915 201464 251830 402928 503660 629575 1007320 1259150 2014640 2518300 5036600 10073200