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2105376 = 253713241
BaseRepresentation
bin1000000010000000100000
310221222000220
420002000200
51014333001
6113043040
723616060
oct10020040
93858026
102105376
111208889
12856480
135893b0
143cb3a0
152b8c36
hex202020

2105376 has 96 divisors (see below), whose sum is σ = 6830208. Its totient is φ = 552960.

The previous prime is 2105359. The next prime is 2105377. The reversal of 2105376 is 6735012.

2105376 = T168 + T169 + ... + T258.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

2105376 is an undulating number in base 16.

It is not an unprimeable number, because it can be changed into a prime (2105377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8616 + ... + 8856.

It is an arithmetic number, because the mean of its divisors is an integer number (71148).

22105376 is an apocalyptic number.

2105376 is a gapful number since it is divisible by the number (26) 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 2105376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415104).

2105376 is an abundant number, since it is smaller than the sum of its proper divisors (4724832).

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

2105376 is a wasteful number, since it uses less digits than its factorization.

2105376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 2105376 is about 1450.9913852260. The cubic root of 2105376 is about 128.1670994710.

The spelling of 2105376 in words is "two million, one hundred five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 241 273 312 336 364 416 482 546 624 672 723 728 964 1092 1248 1446 1456 1687 1928 2184 2892 2912 3133 3374 3856 4368 5061 5784 6266 6748 7712 8736 9399 10122 11568 12532 13496 18798 20244 21931 23136 25064 26992 37596 40488 43862 50128 53984 65793 75192 80976 87724 100256 131586 150384 161952 175448 263172 300768 350896 526344 701792 1052688 2105376