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10152975 = 352783233
BaseRepresentation
bin100110101110…
…110000001111
3201002211021010
4212232300033
510044343400
61001340303
7152204340
oct46566017
921084233
1010152975
115805098
123497693
1321463a1
1414c40c7
15d58450
hex9aec0f

10152975 has 48 divisors (see below), whose sum is σ = 19498752. Its totient is φ = 4565760.

The previous prime is 10152949. The next prime is 10152991. The reversal of 10152975 is 57925101.

It is not a de Polignac number, because 10152975 - 25 = 10152943 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 43459 + ... + 43691.

It is an arithmetic number, because the mean of its divisors is an integer number (406224).

Almost surely, 210152975 is an apocalyptic number.

10152975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10152975 is a deficient number, since it is larger than the sum of its proper divisors (9345777).

10152975 is a wasteful number, since it uses less digits than its factorization.

10152975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 30.

The square root of 10152975 is about 3186.3733302926. The cubic root of 10152975 is about 216.5364964332.

The spelling of 10152975 in words is "ten million, one hundred fifty-two thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 15 21 25 35 75 83 105 175 233 249 415 525 581 699 1165 1245 1631 1743 2075 2905 3495 4893 5825 6225 8155 8715 14525 17475 19339 24465 40775 43575 58017 96695 122325 135373 290085 406119 483475 676865 1450425 2030595 3384325 10152975