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2134880 = 255111213
BaseRepresentation
bin1000001001001101100000
311000110111122
420021031200
51021304010
6113431412
724101066
oct10111540
94013448
102134880
111228a70
1286b568
13599957
143d8036
152c2855
hex209360

2134880 has 48 divisors (see below), whose sum is σ = 5506704. Its totient is φ = 775680.

The previous prime is 2134879. The next prime is 2134921. The reversal of 2134880 is 884312.

It is a super-2 number, since 2×21348802 = 9115425228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1154 + ... + 2366.

It is an arithmetic number, because the mean of its divisors is an integer number (114723).

22134880 is an apocalyptic number.

2134880 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 2134880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753352).

2134880 is an abundant number, since it is smaller than the sum of its proper divisors (3371824).

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

2134880 is a wasteful number, since it uses less digits than its factorization.

2134880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 2134880 is about 1461.1228558886. The cubic root of 2134880 is about 128.7630206456.

The spelling of 2134880 in words is "two million, one hundred thirty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1213 1760 2426 4852 6065 9704 12130 13343 19408 24260 26686 38816 48520 53372 66715 97040 106744 133430 194080 213488 266860 426976 533720 1067440 2134880