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10133757 = 321125973
BaseRepresentation
bin100110101010…
…000011111101
3201001211220100
4212222003331
510043240012
61001111313
7152064324
oct46520375
921054810
1010133757
1157a1707
123488539
13213a70a
1414bb0bb
15d528dc
hex9aa0fd

10133757 has 6 divisors (see below), whose sum is σ = 14637662. Its totient is φ = 6755832.

The previous prime is 10133743. The next prime is 10133771. The reversal of 10133757 is 75733101.

It is an interprime number because it is at equal distance from previous prime (10133743) and next prime (10133771).

It can be written as a sum of positive squares in only one way, i.e., 7901721 + 2232036 = 2811^2 + 1494^2 .

It is not a de Polignac number, because 10133757 - 24 = 10133741 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10133757.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133657) 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 5 ways as a sum of consecutive naturals, for example, 562978 + ... + 562995.

Almost surely, 210133757 is an apocalyptic number.

It is an amenable number.

10133757 is a deficient number, since it is larger than the sum of its proper divisors (4503905).

10133757 is a wasteful number, since it uses less digits than its factorization.

10133757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125979 (or 1125976 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 10133757 is about 3183.3562477360. The cubic root of 10133757 is about 216.3997868553.

Adding to 10133757 its reverse (75733101), we get a palindrome (85866858).

The spelling of 10133757 in words is "ten million, one hundred thirty-three thousand, seven hundred fifty-seven".

Divisors: 1 3 9 1125973 3377919 10133757