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10542532 = 22711132633
BaseRepresentation
bin101000001101…
…110111000100
3201211121122011
4220031313010
510144330112
61013544004
7155416150
oct50156704
921747564
1010542532
115a50840
123645004
1322517b0
141586060
15dd3aa7
hexa0ddc4

10542532 has 48 divisors (see below), whose sum is σ = 24780672. Its totient is φ = 3790080.

The previous prime is 10542503. The next prime is 10542547. The reversal of 10542532 is 23524501.

It is a super-2 number, since 2×105425322 = 222289961942048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2688 + ... + 5320.

It is an arithmetic number, because the mean of its divisors is an integer number (516264).

Almost surely, 210542532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10542532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12390336).

10542532 is an abundant number, since it is smaller than the sum of its proper divisors (14238140).

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

10542532 is a wasteful number, since it uses less digits than its factorization.

10542532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 2666 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 10542532 is about 3246.9265467516. The cubic root of 10542532 is about 219.2712248785.

The spelling of 10542532 in words is "ten million, five hundred forty-two thousand, five hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 2633 4004 5266 10532 18431 28963 34229 36862 57926 68458 73724 115852 136916 202741 239603 376519 405482 479206 753038 810964 958412 1506076 2635633 5271266 10542532