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10264125 = 353101271
BaseRepresentation
bin100111001001…
…111000111101
3201022110201210
4213021320331
510111423000
61003555033
7153146364
oct47117075
921273653
1010264125
115880653
12352ba79
132184b61
1415127db
15d7b350
hex9c9e3d

10264125 has 32 divisors (see below), whose sum is σ = 17312256. Its totient is φ = 5400000.

The previous prime is 10264117. The next prime is 10264147. The reversal of 10264125 is 52146201.

10264125 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10264125 - 23 = 10264117 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37740 + ... + 38010.

It is an arithmetic number, because the mean of its divisors is an integer number (541008).

Almost surely, 210264125 is an apocalyptic number.

10264125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10264125 is a deficient number, since it is larger than the sum of its proper divisors (7048131).

10264125 is a wasteful number, since it uses less digits than its factorization.

10264125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 380 counting only the distinct ones).

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

The square root of 10264125 is about 3203.7673136481. The cubic root of 10264125 is about 217.3238102790.

It can be divided in two parts, 1026 and 4125, that added together give a triangular number (5151 = T101).

The spelling of 10264125 in words is "ten million, two hundred sixty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 101 125 271 303 375 505 813 1355 1515 2525 4065 6775 7575 12625 20325 27371 33875 37875 82113 101625 136855 410565 684275 2052825 3421375 10264125