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10132733 = 13259957
BaseRepresentation
bin100110101001…
…110011111101
3201001210111102
4212221303331
510043221413
61001102445
7152061332
oct46516375
921053442
1010132733
1157a0966
123487a25
13213a100
1414ba989
15d52458
hex9a9cfd

10132733 has 6 divisors (see below), whose sum is σ = 10972314. Its totient is φ = 9353136.

The previous prime is 10132721. The next prime is 10132751. The reversal of 10132733 is 33723101.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 128164 + 10004569 = 358^2 + 3163^2 .

It is not a de Polignac number, because 10132733 - 26 = 10132669 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29810 + ... + 30147.

It is an arithmetic number, because the mean of its divisors is an integer number (1828719).

Almost surely, 210132733 is an apocalyptic number.

10132733 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10132733 is a deficient number, since it is larger than the sum of its proper divisors (839581).

10132733 is an equidigital number, since it uses as much as digits as its factorization.

10132733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59983 (or 59970 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 10132733 is about 3183.1954071342. The cubic root of 10132733 is about 216.3924976586.

Adding to 10132733 its reverse (33723101), we get a palindrome (43855834).

It can be divided in two parts, 101 and 32733, that multiplied together give a palindrome (3306033).

The spelling of 10132733 in words is "ten million, one hundred thirty-two thousand, seven hundred thirty-three".

Divisors: 1 13 169 59957 779441 10132733