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2000880 = 243257397
BaseRepresentation
bin111101000011111110000
310202122200200
413220133300
51003012010
6110515200
723002320
oct7503760
93678620
102000880
111147322
12805b00
1355096b
143a1280
15297cc0
hex1e87f0

2000880 has 120 divisors (see below), whose sum is σ = 7698912. Its totient is φ = 456192.

The previous prime is 2000863. The next prime is 2000903. The reversal of 2000880 is 880002.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4842 + ... + 5238.

22000880 is an apocalyptic number.

2000880 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 2000880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3849456).

2000880 is an abundant number, since it is smaller than the sum of its proper divisors (5698032).

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

2000880 is a wasteful number, since it uses less digits than its factorization.

2000880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2000880 is about 1414.5246551404. The cubic root of 2000880 is about 126.0105811220.

Adding to 2000880 its reverse (880002), we get a palindrome (2880882).

The spelling of 2000880 in words is "two million, eight hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 397 420 504 560 630 720 794 840 1008 1191 1260 1588 1680 1985 2382 2520 2779 3176 3573 3970 4764 5040 5558 5955 6352 7146 7940 8337 9528 11116 11910 13895 14292 15880 16674 17865 19056 22232 23820 25011 27790 28584 31760 33348 35730 41685 44464 47640 50022 55580 57168 66696 71460 83370 95280 100044 111160 125055 133392 142920 166740 200088 222320 250110 285840 333480 400176 500220 666960 1000440 2000880