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10545132 = 22313232939
BaseRepresentation
bin101000001110…
…011111101100
3201211202012110
4220032133230
510144421012
61014004020
7155426553
oct50163754
921752173
1010545132
115a52794
123646610
132252a30
141586d9a
15dd473c
hexa0e7ec

10545132 has 48 divisors (see below), whose sum is σ = 27659520. Its totient is φ = 3102528.

The previous prime is 10545127. The next prime is 10545137. The reversal of 10545132 is 23154501.

It is an interprime number because it is at equal distance from previous prime (10545127) and next prime (10545137).

It is a super-2 number, since 2×105451322 = 222399617794848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10545099 and 10545108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10545137) 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 15 ways as a sum of consecutive naturals, for example, 2119 + ... + 5057.

It is an arithmetic number, because the mean of its divisors is an integer number (576240).

Almost surely, 210545132 is an apocalyptic number.

10545132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10545132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13829760).

10545132 is an abundant number, since it is smaller than the sum of its proper divisors (17114388).

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

10545132 is a wasteful number, since it uses less digits than its factorization.

10545132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 10545132 is about 3247.3269006985. The cubic root of 10545132 is about 219.2892489587.

Adding to 10545132 its reverse (23154501), we get a palindrome (33699633).

The spelling of 10545132 in words is "ten million, five hundred forty-five thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 156 276 299 598 897 1196 1794 2939 3588 5878 8817 11756 17634 35268 38207 67597 76414 114621 135194 152828 202791 229242 270388 405582 458484 811164 878761 1757522 2636283 3515044 5272566 10545132