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2009140 = 2257113127
BaseRepresentation
bin111101010100000110100
310210002000121
413222200310
51003243030
6111021324
723035360
oct7524064
93702017
102009140
111152551
1280a844
13554653
143a42a0
1529a47a
hex1ea834

2009140 has 48 divisors (see below), whose sum is σ = 4902912. Its totient is φ = 677376.

The previous prime is 2009113. The next prime is 2009167. The reversal of 2009140 is 419002.

It is an interprime number because it is at equal distance from previous prime (2009113) and next prime (2009167).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15757 + ... + 15883.

It is an arithmetic number, because the mean of its divisors is an integer number (102144).

22009140 is an apocalyptic number.

2009140 is a gapful number since it is divisible by the number (20) 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 2009140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451456).

2009140 is an abundant number, since it is smaller than the sum of its proper divisors (2893772).

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

2009140 is a wasteful number, since it uses less digits than its factorization.

2009140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2009140 is about 1417.4413568116. The cubic root of 2009140 is about 126.1837413325.

The spelling of 2009140 in words is "two million, nine thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 113 127 140 226 254 452 508 565 635 791 889 1130 1270 1582 1778 2260 2540 3164 3556 3955 4445 7910 8890 14351 15820 17780 28702 57404 71755 100457 143510 200914 287020 401828 502285 1004570 2009140