Search a number
-
+
2102880 = 253513337
BaseRepresentation
bin1000000001011001100000
310221211121110
420001121200
51014243010
6113023320
723605563
oct10013140
93854543
102102880
111206a1a
12854b40
13588210
143ca4da
152b8120
hex201660

2102880 has 96 divisors (see below), whose sum is σ = 7154784. Its totient is φ = 516096.

The previous prime is 2102879. The next prime is 2102887. The reversal of 2102880 is 882012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6072 + ... + 6408.

It is an arithmetic number, because the mean of its divisors is an integer number (74529).

22102880 is an apocalyptic number.

2102880 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 2102880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577392).

2102880 is an abundant number, since it is smaller than the sum of its proper divisors (5051904).

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

2102880 is a wasteful number, since it uses less digits than its factorization.

2102880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 2102880 is about 1450.1310285626. The cubic root of 2102880 is about 128.1164305195.

Adding to 2102880 its reverse (882012), we get a palindrome (2984892).

The spelling of 2102880 in words is "two million, one hundred two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 337 390 416 480 520 624 674 780 1011 1040 1248 1348 1560 1685 2022 2080 2696 3120 3370 4044 4381 5055 5392 6240 6740 8088 8762 10110 10784 13143 13480 16176 17524 20220 21905 26286 26960 32352 35048 40440 43810 52572 53920 65715 70096 80880 87620 105144 131430 140192 161760 175240 210288 262860 350480 420576 525720 700960 1051440 2102880