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2009142 = 232232211
BaseRepresentation
bin111101010100000110110
310210002000200
413222200312
51003243032
6111021330
723035362
oct7524066
93702020
102009142
111152553
1280a846
13554655
143a42a2
1529a47c
hex1ea836

2009142 has 36 divisors (see below), whose sum is σ = 4572204. Its totient is φ = 637560.

The previous prime is 2009113. The next prime is 2009167. The reversal of 2009142 is 2419002.

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

It is an Ulam number.

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 17 ways as a sum of consecutive naturals, for example, 9417 + ... + 9627.

22009142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2009142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286102).

2009142 is an abundant number, since it is smaller than the sum of its proper divisors (2563062).

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

2009142 is a wasteful number, since it uses less digits than its factorization.

2009142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2009142 is about 1417.4420623080. The cubic root of 2009142 is about 126.1837832024.

The spelling of 2009142 in words is "two million, nine thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 211 414 422 529 633 1058 1266 1587 1899 3174 3798 4761 4853 9522 9706 14559 29118 43677 87354 111619 223238 334857 669714 1004571 2009142