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2730042 = 232747461
BaseRepresentation
bin1010011010100000111010
312010200220200
422122200322
51144330132
6134303030
732130210
oct12324072
95120820
102730042
1115a5137
12ab7a76
13747813
14510cb0
1538dd7c
hex29a83a

2730042 has 48 divisors (see below), whose sum is σ = 6918912. Its totient is φ = 761760.

The previous prime is 2730041. The next prime is 2730071. The reversal of 2730042 is 2400372.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2729997 and 2730024.

It is not an unprimeable number, because it can be changed into a prime (2730041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5692 + ... + 6152.

It is an arithmetic number, because the mean of its divisors is an integer number (144144).

22730042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2730042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3459456).

2730042 is an abundant number, since it is smaller than the sum of its proper divisors (4188870).

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

2730042 is a wasteful number, since it uses less digits than its factorization.

2730042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 2730042 is about 1652.2838739151. The cubic root of 2730042 is about 139.7622154083.

The spelling of 2730042 in words is "two million, seven hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 63 94 126 141 282 329 423 461 658 846 922 987 1383 1974 2766 2961 3227 4149 5922 6454 8298 9681 19362 21667 29043 43334 58086 65001 130002 151669 195003 303338 390006 455007 910014 1365021 2730042