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10542636 = 2234132503
BaseRepresentation
bin101000001101…
…111000101100
3201211121210000
4220031320230
510144331021
61013544300
7155416356
oct50157054
921747700
1010542636
115a50925
123645090
132251860
1415860d6
15dd3b26
hexa0de2c

10542636 has 60 divisors (see below), whose sum is σ = 29692432. Its totient is φ = 3242592.

The previous prime is 10542613. The next prime is 10542641. The reversal of 10542636 is 63624501.

It is a super-2 number, since 2×105426362 = 222294347656992, which contains 22 as substring.

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

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 19 ways as a sum of consecutive naturals, for example, 2961 + ... + 5463.

Almost surely, 210542636 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 10542636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14846216).

10542636 is an abundant number, since it is smaller than the sum of its proper divisors (19149796).

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

10542636 is a wasteful number, since it uses less digits than its factorization.

10542636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2532 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 10542636 is about 3246.9425618572. The cubic root of 10542636 is about 219.2719458986.

The spelling of 10542636 in words is "ten million, five hundred forty-two thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 2503 4212 5006 7509 10012 15018 22527 30036 32539 45054 65078 67581 90108 97617 130156 135162 195234 202743 270324 292851 390468 405486 585702 810972 878553 1171404 1757106 2635659 3514212 5271318 10542636