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10532457 = 331337811
BaseRepresentation
bin101000001011…
…011001101001
3201211002211000
4220023121221
510144014312
61013425213
7155344605
oct50133151
921732730
1010532457
115a44211
12363b209
13224a030
141582505
15dd0adc
hexa0b669

10532457 has 32 divisors (see below), whose sum is σ = 17279360. Its totient is φ = 6298560.

The previous prime is 10532453. The next prime is 10532497. The reversal of 10532457 is 75423501.

It is a happy number.

It is not a de Polignac number, because 10532457 - 22 = 10532453 is a prime.

It is a super-2 number, since 2×105324572 = 221865300913698, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 10532457.

It is not an unprimeable number, because it can be changed into a prime (10532453) 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 31 ways as a sum of consecutive naturals, for example, 12582 + ... + 13392.

It is an arithmetic number, because the mean of its divisors is an integer number (539980).

Almost surely, 210532457 is an apocalyptic number.

It is an amenable number.

10532457 is a deficient number, since it is larger than the sum of its proper divisors (6746903).

10532457 is a wasteful number, since it uses less digits than its factorization.

10532457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 10532457 is about 3245.3747087201. The cubic root of 10532457 is about 219.2013535645.

Adding to 10532457 its reverse (75423501), we get a palindrome (85955958).

The spelling of 10532457 in words is "ten million, five hundred thirty-two thousand, four hundred fifty-seven".

Divisors: 1 3 9 13 27 37 39 111 117 333 351 481 811 999 1443 2433 4329 7299 10543 12987 21897 30007 31629 90021 94887 270063 284661 390091 810189 1170273 3510819 10532457