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2009940 = 2235139241
BaseRepresentation
bin111101010101101010100
310210010010020
413222231110
51003304230
6111025140
723040612
oct7525524
93703106
102009940
111153109
1280b1b0
13554b1a
143a46b2
1529a810
hex1eab54

2009940 has 48 divisors (see below), whose sum is σ = 5691840. Its totient is φ = 529920.

The previous prime is 2009923. The next prime is 2009957. The reversal of 2009940 is 499002.

It is an interprime number because it is at equal distance from previous prime (2009923) and next prime (2009957).

It is a self number, because there is not a number n which added to its sum of digits gives 2009940.

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, 8220 + ... + 8460.

It is an arithmetic number, because the mean of its divisors is an integer number (118580).

22009940 is an apocalyptic number.

2009940 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 2009940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845920).

2009940 is an abundant number, since it is smaller than the sum of its proper divisors (3681900).

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

2009940 is a wasteful number, since it uses less digits than its factorization.

2009940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 2009940 is about 1417.7235273494. The cubic root of 2009940 is about 126.2004870708.

The spelling of 2009940 in words is "two million, nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 241 278 417 482 556 695 723 834 964 1205 1390 1446 1668 2085 2410 2780 2892 3615 4170 4820 7230 8340 14460 33499 66998 100497 133996 167495 200994 334990 401988 502485 669980 1004970 2009940