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10532306000 = 24535266153
BaseRepresentation
bin10011100111100011…
…00011110001010000
31000012000101120200102
421303301203301100
5133032232243000
64501035511532
7522000060326
oct116361436120
930160346612
1010532306000
114515237427
12205b2b85a8
13cbb074038
1471cb27d16
154199a83d5
hex273c63c50

10532306000 has 40 divisors (see below), whose sum is σ = 25467120744. Its totient is φ = 4212921600.

The previous prime is 10532305969. The next prime is 10532306009. The reversal of 10532306000 is 60323501.

It can be written as a sum of positive squares in 4 ways, for example, as 2651838016 + 7880467984 = 51496^2 + 88772^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105323060002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10532306009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2631077 + ... + 2635076.

Almost surely, 210532306000 is an apocalyptic number.

10532306000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10532306000 is an abundant number, since it is smaller than the sum of its proper divisors (14934814744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10532306000 is an equidigital number, since it uses as much as digits as its factorization.

10532306000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5266176 (or 5266160 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 10532306000 its reverse (60323501), we get a palindrome (10592629501).

The spelling of 10532306000 in words is "ten billion, five hundred thirty-two million, three hundred six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 5266153 10532306 21064612 26330765 42129224 52661530 84258448 105323060 131653825 210646120 263307650 421292240 526615300 658269125 1053230600 1316538250 2106461200 2633076500 5266153000 10532306000