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10542834 = 23219291063
BaseRepresentation
bin101000001101…
…111011110010
3201211122001100
4220031323302
510144332314
61013545230
7155420061
oct50157362
921748040
1010542834
115a50a95
123645216
132251983
1415861d8
15dd3c09
hexa0def2

10542834 has 48 divisors (see below), whose sum is σ = 24897600. Its totient is φ = 3211488.

The previous prime is 10542823. The next prime is 10542893. The reversal of 10542834 is 43824501.

It is a super-2 number, since 2×105428342 = 222302697503112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10542798 and 10542807.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 9387 + ... + 10449.

It is an arithmetic number, because the mean of its divisors is an integer number (518700).

Almost surely, 210542834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10542834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12448800).

10542834 is an abundant number, since it is smaller than the sum of its proper divisors (14354766).

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

10542834 is a wasteful number, since it uses less digits than its factorization.

10542834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 10542834 is about 3246.9730519362. The cubic root of 10542834 is about 219.2733185969.

The spelling of 10542834 in words is "ten million, five hundred forty-two thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 522 551 1063 1102 1653 2126 3189 3306 4959 6378 9567 9918 19134 20197 30827 40394 60591 61654 92481 121182 181773 184962 277443 363546 554886 585713 1171426 1757139 3514278 5271417 10542834