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2047104 = 27321777
BaseRepresentation
bin111110011110010000000
310212000002200
413303302000
51011001404
6111513200
723254143
oct7636200
93760080
102047104
111179024
12828800
13568a07
143b405a
152a6839
hex1f3c80

2047104 has 48 divisors (see below), whose sum is σ = 5894070. Its totient is φ = 681984.

The previous prime is 2047093. The next prime is 2047121. The reversal of 2047104 is 4017402.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1742400 + 304704 = 1320^2 + 552^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 264 + ... + 2040.

22047104 is an apocalyptic number.

2047104 is a gapful number since it is divisible by the number (24) 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 2047104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947035).

2047104 is an abundant number, since it is smaller than the sum of its proper divisors (3846966).

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

2047104 is a wasteful number, since it uses less digits than its factorization.

2047104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 2047104 is about 1430.7704218357. The cubic root of 2047104 is about 126.9735617771.

The spelling of 2047104 in words is "two million, forty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1777 3554 5331 7108 10662 14216 15993 21324 28432 31986 42648 56864 63972 85296 113728 127944 170592 227456 255888 341184 511776 682368 1023552 2047104