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10624125 = 35341691
BaseRepresentation
bin101000100001…
…110001111101
3201222202120010
4220201301331
510204433000
61015413433
7156206061
oct50416175
921882503
1010624125
115aa7076
123684279
13227c985
1415a7aa1
15decd50
hexa21c7d

10624125 has 32 divisors (see below), whose sum is σ = 18135936. Its totient is φ = 5520000.

The previous prime is 10624111. The next prime is 10624127. The reversal of 10624125 is 52142601.

10624125 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10624125 - 24 = 10624109 is a prime.

It is a super-2 number, since 2×106241252 = 225744064031250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10624127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15030 + ... + 15720.

It is an arithmetic number, because the mean of its divisors is an integer number (566748).

Almost surely, 210624125 is an apocalyptic number.

10624125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10624125 is a deficient number, since it is larger than the sum of its proper divisors (7511811).

10624125 is an equidigital number, since it uses as much as digits as its factorization.

10624125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10624125 is about 3259.4669809648. The cubic root of 10624125 is about 219.8354485780.

Adding to 10624125 its reverse (52142601), we get a palindrome (62766726).

The spelling of 10624125 in words is "ten million, six hundred twenty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 41 75 123 125 205 375 615 691 1025 2073 3075 3455 5125 10365 15375 17275 28331 51825 84993 86375 141655 259125 424965 708275 2124825 3541375 10624125