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10153125 = 3255192
BaseRepresentation
bin100110101110…
…110010100101
3201002211110200
4212232302211
510044400000
61001341113
7152204643
oct46566245
921084420
1010153125
115805214
123497799
132146488
1414c4193
15d58500
hex9aeca5

10153125 has 54 divisors (see below), whose sum is σ = 19346418. Its totient is φ = 5130000.

The previous prime is 10153111. The next prime is 10153139. The reversal of 10153125 is 52135101.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (10153111) and next prime (10153139).

It can be written as a sum of positive squares in 3 ways, for example, as 4691556 + 5461569 = 2166^2 + 2337^2 .

It is not a de Polignac number, because 10153125 - 25 = 10153093 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 10153098 and 10153107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 534366 + ... + 534384.

It is an arithmetic number, because the mean of its divisors is an integer number (358267).

Almost surely, 210153125 is an apocalyptic number.

10153125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10153125 is a deficient number, since it is larger than the sum of its proper divisors (9193293).

10153125 is an frugal number, since it uses more digits than its factorization.

10153125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 10153125 is about 3186.3968679372. The cubic root of 10153125 is about 216.5375627976.

Adding to 10153125 its reverse (52135101), we get a palindrome (62288226).

The spelling of 10153125 in words is "ten million, one hundred fifty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 19 25 45 57 75 95 125 171 225 285 361 375 475 625 855 1083 1125 1425 1805 1875 2375 3125 3249 4275 5415 5625 7125 9025 9375 11875 16245 21375 27075 28125 35625 45125 59375 81225 106875 135375 178125 225625 406125 534375 676875 1128125 2030625 3384375 10153125