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10537929 = 328314107
BaseRepresentation
bin101000001100…
…101111001001
3201211101022200
4220030233021
510144203204
61013510413
7155366553
oct50145711
921741280
1010537929
115a48336
123642409
13224c67c
1415844d3
15dd2539
hexa0cbc9

10537929 has 12 divisors (see below), whose sum is σ = 15405936. Its totient is φ = 6940152.

The previous prime is 10537907. The next prime is 10537957. The reversal of 10537929 is 92973501.

10537929 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10537929 - 27 = 10537801 is a prime.

It is a super-2 number, since 2×105379292 = 222095895218082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10537893 and 10537902.

It is not an unprimeable number, because it can be changed into a prime (10537529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6307 + ... + 7800.

It is an arithmetic number, because the mean of its divisors is an integer number (1283828).

Almost surely, 210537929 is an apocalyptic number.

It is an amenable number.

10537929 is a deficient number, since it is larger than the sum of its proper divisors (4868007).

10537929 is a wasteful number, since it uses less digits than its factorization.

10537929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14196 (or 14193 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 10537929 is about 3246.2176451988. The cubic root of 10537929 is about 219.2393080558.

The spelling of 10537929 in words is "ten million, five hundred thirty-seven thousand, nine hundred twenty-nine".

Divisors: 1 3 9 83 249 747 14107 42321 126963 1170881 3512643 10537929