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2111264 = 25173881
BaseRepresentation
bin1000000011011100100000
310222021002222
420003130200
51020030024
6113130212
723642201
oct10033440
93867088
102111264
111212251
12859968
1358bc8c
143cd5a8
152ba85e
hex203720

2111264 has 24 divisors (see below), whose sum is σ = 4402188. Its totient is φ = 993280.

The previous prime is 2111251. The next prime is 2111267. The reversal of 2111264 is 4621112.

It can be written as a sum of positive squares in 2 ways, for example, as 2016400 + 94864 = 1420^2 + 308^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (2111267) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1397 + ... + 2484.

22111264 is an apocalyptic number.

It is an amenable number.

2111264 is an abundant number, since it is smaller than the sum of its proper divisors (2290924).

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

2111264 is a wasteful number, since it uses less digits than its factorization.

2111264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908 (or 3900 counting only the distinct ones).

The product of its digits is 96, while the sum is 17.

The square root of 2111264 is about 1453.0189262360. The cubic root of 2111264 is about 128.2864677734.

Adding to 2111264 its reverse (4621112), we get a palindrome (6732376).

The spelling of 2111264 in words is "two million, one hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 3881 7762 15524 31048 62096 65977 124192 131954 263908 527816 1055632 2111264