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10542140 = 2257257293
BaseRepresentation
bin101000001101…
…110000111100
3201211121002122
4220031300330
510144322030
61013542112
7155415050
oct50156074
921747078
1010542140
115a50514
123644938
13225156b
141585c60
15dd38e5
hexa0dc3c

10542140 has 48 divisors (see below), whose sum is σ = 25486272. Its totient is φ = 3588096.

The previous prime is 10542113. The next prime is 10542157. The reversal of 10542140 is 4124501.

It is a super-2 number, since 2×105421402 = 222273431559200, which contains 22 as substring.

It is a congruent number.

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, 35834 + ... + 36126.

It is an arithmetic number, because the mean of its divisors is an integer number (530964).

Almost surely, 210542140 is an apocalyptic number.

10542140 is a gapful number since it is divisible by the number (10) 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 10542140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12743136).

10542140 is an abundant number, since it is smaller than the sum of its proper divisors (14944132).

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

10542140 is a wasteful number, since it uses less digits than its factorization.

10542140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 10542140 is about 3246.8661814125. The cubic root of 10542140 is about 219.2685071448.

Adding to 10542140 its reverse (4124501), we get a palindrome (14666641).

The spelling of 10542140 in words is "ten million, five hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 257 293 514 586 1028 1172 1285 1465 1799 2051 2570 2930 3598 4102 5140 5860 7196 8204 8995 10255 17990 20510 35980 41020 75301 150602 301204 376505 527107 753010 1054214 1506020 2108428 2635535 5271070 10542140