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10864125 = 34532937
BaseRepresentation
bin101001011100…
…010111111101
3202102221210000
4221130113331
510240123000
61024504513
7161225556
oct51342775
922387700
1010864125
116150418
12377b139
132334c9c
14162b32d
15e49000
hexa5c5fd

10864125 has 80 divisors (see below), whose sum is σ = 21518640. Its totient is φ = 5443200.

The previous prime is 10864123. The next prime is 10864127. The reversal of 10864125 is 52146801.

10864125 is a `hidden beast` number, since 10 + 8 + 641 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (10864123) and next prime (10864127).

It can be written as a sum of positive squares in 8 ways, for example, as 1390041 + 9474084 = 1179^2 + 3078^2 .

It is not a de Polignac number, because 10864125 - 21 = 10864123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10864121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 293607 + ... + 293643.

It is an arithmetic number, because the mean of its divisors is an integer number (268983).

Almost surely, 210864125 is an apocalyptic number.

10864125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10864125 is a deficient number, since it is larger than the sum of its proper divisors (10654515).

10864125 is an equidigital number, since it uses as much as digits as its factorization.

10864125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10864125 is about 3296.0772139014. The cubic root of 10864125 is about 221.4785056604.

The spelling of 10864125 in words is "ten million, eight hundred sixty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 37 45 75 81 87 111 125 135 145 185 225 261 333 375 405 435 555 675 725 783 925 999 1073 1125 1305 1665 2025 2175 2349 2775 2997 3219 3375 3625 3915 4625 4995 5365 6525 8325 9657 10125 10875 11745 13875 14985 16095 19575 24975 26825 28971 32625 41625 48285 58725 74925 80475 86913 97875 124875 134125 144855 241425 293625 374625 402375 434565 724275 1207125 2172825 3621375 10864125