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2105124 = 2237191319
BaseRepresentation
bin1000000001111100100100
310221221200120
420001330210
51014330444
6113041540
723615250
oct10017444
93857616
102105124
11120867a
128562b0
13589248
143cb260
152b8b19
hex201f24

2105124 has 48 divisors (see below), whose sum is σ = 5913600. Its totient is φ = 569376.

The previous prime is 2105119. The next prime is 2105141. The reversal of 2105124 is 4215012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 937 + ... + 2255.

It is an arithmetic number, because the mean of its divisors is an integer number (123200).

22105124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956800).

2105124 is an abundant number, since it is smaller than the sum of its proper divisors (3808476).

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

2105124 is a wasteful number, since it uses less digits than its factorization.

2105124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 2105124 is about 1450.9045454474. The cubic root of 2105124 is about 128.1619856737.

The spelling of 2105124 in words is "two million, one hundred five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1319 1596 2638 3957 5276 7914 9233 15828 18466 25061 27699 36932 50122 55398 75183 100244 110796 150366 175427 300732 350854 526281 701708 1052562 2105124