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2105416 = 2317113137
BaseRepresentation
bin1000000010000001001000
310221222002101
420002001020
51014333131
6113043144
723616145
oct10020110
93858071
102105416
111208915
128564b4
13589411
143cb3cc
152b8c61
hex202048

2105416 has 32 divisors (see below), whose sum is σ = 4247640. Its totient is φ = 974848.

The previous prime is 2105413. The next prime is 2105417. The reversal of 2105416 is 6145012.

It can be written as a sum of positive squares in 4 ways, for example, as 1572516 + 532900 = 1254^2 + 730^2 .

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2105393 and 2105402.

It is not an unprimeable number, because it can be changed into a prime (2105413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15300 + ... + 15436.

22105416 is an apocalyptic number.

It is an amenable number.

2105416 is an abundant number, since it is smaller than the sum of its proper divisors (2142224).

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

2105416 is a wasteful number, since it uses less digits than its factorization.

2105416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 2105416 is about 1451.0051688399. The cubic root of 2105416 is about 128.1679111473.

The spelling of 2105416 in words is "two million, one hundred five thousand, four hundred sixteen".

Divisors: 1 2 4 8 17 34 68 113 136 137 226 274 452 548 904 1096 1921 2329 3842 4658 7684 9316 15368 15481 18632 30962 61924 123848 263177 526354 1052708 2105416