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2104880 = 24583317
BaseRepresentation
bin1000000001111000110000
310221221100112
420001320300
51014324010
6113040452
723614451
oct10017060
93857315
102104880
111208478
12856128
135890bb
143cb128
152b8a05
hex201e30

2104880 has 40 divisors (see below), whose sum is σ = 4968432. Its totient is φ = 829184.

The previous prime is 2104871. The next prime is 2104901. The reversal of 2104880 is 884012.

It is a tau number, because it is divible by the number of its divisors (40).

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, 6482 + ... + 6798.

22104880 is an apocalyptic number.

2104880 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 2104880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484216).

2104880 is an abundant number, since it is smaller than the sum of its proper divisors (2863552).

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

2104880 is a wasteful number, since it uses less digits than its factorization.

2104880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 2104880 is about 1450.8204575343. The cubic root of 2104880 is about 128.1570338304.

Adding to 2104880 its reverse (884012), we get a palindrome (2988892).

The spelling of 2104880 in words is "two million, one hundred four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 317 332 415 634 664 830 1268 1328 1585 1660 2536 3170 3320 5072 6340 6640 12680 25360 26311 52622 105244 131555 210488 263110 420976 526220 1052440 2104880