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10073712 = 2431119079
BaseRepresentation
bin100110011011…
…011001110000
3200221210112110
4212123121300
510034324322
6555525320
7151424265
oct46333160
920853473
1010073712
115760590
123459840
13211929c
1414a326c
15d3ec0c
hex99b670

10073712 has 40 divisors (see below), whose sum is σ = 28391040. Its totient is φ = 3052480.

The previous prime is 10073711. The next prime is 10073717. The reversal of 10073712 is 21737001.

10073712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10073711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9012 + ... + 10067.

It is an arithmetic number, because the mean of its divisors is an integer number (709776).

Almost surely, 210073712 is an apocalyptic number.

10073712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10073712 is an abundant number, since it is smaller than the sum of its proper divisors (18317328).

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

10073712 is a wasteful number, since it uses less digits than its factorization.

10073712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19101 (or 19095 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 10073712 is about 3173.9111518756. The cubic root of 10073712 is about 215.9715325995.

The spelling of 10073712 in words is "ten million, seventy-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 19079 38158 57237 76316 114474 152632 209869 228948 305264 419738 457896 629607 839476 915792 1259214 1678952 2518428 3357904 5036856 10073712