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2149880 = 23571757
BaseRepresentation
bin1000001100110111111000
311001020002012
420030313320
51022244010
6114025052
724162605
oct10146770
94036065
102149880
111239267
12878188
135a3725
143dd6ac
152c7005
hex20cdf8

2149880 has 32 divisors (see below), whose sum is σ = 4911840. Its totient is φ = 846720.

The previous prime is 2149877. The next prime is 2149883. The reversal of 2149880 is 889412.

It is a happy number.

2149880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2149877) and next prime (2149883).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2149883) 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 7 ways as a sum of consecutive naturals, for example, 2462 + ... + 3218.

It is an arithmetic number, because the mean of its divisors is an integer number (153495).

22149880 is an apocalyptic number.

2149880 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 2149880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455920).

2149880 is an abundant number, since it is smaller than the sum of its proper divisors (2761960).

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

2149880 is a wasteful number, since it uses less digits than its factorization.

2149880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 2149880 is about 1466.2469096302. The cubic root of 2149880 is about 129.0638867895.

The spelling of 2149880 in words is "two million, one hundred forty-nine thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 757 1420 1514 2840 3028 3785 6056 7570 15140 30280 53747 107494 214988 268735 429976 537470 1074940 2149880