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2009868 = 223771337
BaseRepresentation
bin111101010101100001100
310210010000120
413222230030
51003303433
6111024540
723040450
oct7525414
93703016
102009868
111153053
1280b150
13554a93
143a4660
1529a7b3
hex1eab0c

2009868 has 48 divisors (see below), whose sum is σ = 5451264. Its totient is φ = 564480.

The previous prime is 2009867. The next prime is 2009869. The reversal of 2009868 is 8689002.

It is an interprime number because it is at equal distance from previous prime (2009867) and next prime (2009869).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2009867) by changing a digit.

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, 5796 + ... + 6132.

It is an arithmetic number, because the mean of its divisors is an integer number (113568).

22009868 is an apocalyptic number.

2009868 is a gapful number since it is divisible by the number (28) 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 2009868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2725632).

2009868 is an abundant number, since it is smaller than the sum of its proper divisors (3441396).

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

2009868 is a wasteful number, since it uses less digits than its factorization.

2009868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 2009868 is about 1417.6981343008. The cubic root of 2009868 is about 126.1989801363.

The spelling of 2009868 in words is "two million, nine thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 337 426 497 674 852 994 1011 1348 1491 1988 2022 2359 2982 4044 4718 5964 7077 9436 14154 23927 28308 47854 71781 95708 143562 167489 287124 334978 502467 669956 1004934 2009868