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2105466 = 2311192373
BaseRepresentation
bin1000000010000001111010
310221222011020
420002001322
51014333331
6113043310
723616246
oct10020172
93858136
102105466
111208960
12856536
1358944c
143cb426
152b8c96
hex20207a

2105466 has 64 divisors (see below), whose sum is σ = 5114880. Its totient is φ = 570240.

The previous prime is 2105449. The next prime is 2105483. The reversal of 2105466 is 6645012.

It is an interprime number because it is at equal distance from previous prime (2105449) and next prime (2105483).

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 31 ways as a sum of consecutive naturals, for example, 28806 + ... + 28878.

It is an arithmetic number, because the mean of its divisors is an integer number (79920).

22105466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557440).

2105466 is an abundant number, since it is smaller than the sum of its proper divisors (3009414).

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

2105466 is a wasteful number, since it uses less digits than its factorization.

2105466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2105466 is about 1451.0223981731. The cubic root of 2105466 is about 128.1689257282.

The spelling of 2105466 in words is "two million, one hundred five thousand, four hundred sixty-six".

Divisors: 1 2 3 6 11 19 22 23 33 38 46 57 66 69 73 114 138 146 209 219 253 418 437 438 506 627 759 803 874 1254 1311 1387 1518 1606 1679 2409 2622 2774 3358 4161 4807 4818 5037 8322 9614 10074 14421 15257 18469 28842 30514 31901 36938 45771 55407 63802 91542 95703 110814 191406 350911 701822 1052733 2105466