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10152135 = 34573581
BaseRepresentation
bin100110101110…
…100011000111
3201002210010000
4212232203013
510044332020
61001332343
7152202030
oct46564307
921083100
1010152135
1158044a4
1234970b3
132145ba6
1414c3a87
15d58090
hex9ae8c7

10152135 has 40 divisors (see below), whose sum is σ = 20804256. Its totient is φ = 4639680.

The previous prime is 10152089. The next prime is 10152139. The reversal of 10152135 is 53125101.

It is not a de Polignac number, because 10152135 - 28 = 10151879 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10152139) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1045 + ... + 4625.

Almost surely, 210152135 is an apocalyptic number.

10152135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10152135 is an abundant number, since it is smaller than the sum of its proper divisors (10652121).

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

10152135 is an equidigital number, since it uses as much as digits as its factorization.

10152135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3596 counting only the distinct ones).

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

The square root of 10152135 is about 3186.2415162696. The cubic root of 10152135 is about 216.5305245982.

Adding to 10152135 its reverse (53125101), we get a palindrome (63277236).

The spelling of 10152135 in words is "ten million, one hundred fifty-two thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 2835 3581 10743 17905 25067 32229 53715 75201 96687 125335 161145 225603 290061 376005 483435 676809 1128015 1450305 2030427 3384045 10152135