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1049104 = 247171929
BaseRepresentation
bin100000000001000010000
31222022002201
410000020100
5232032404
634252544
711626420
oct4001020
91868081
101049104
11657231
12427154
132a9694
141d4480
1515aca4
hex100210

1049104 has 80 divisors (see below), whose sum is σ = 2678400. Its totient is φ = 387072.

The previous prime is 1049101. The next prime is 1049117. The reversal of 1049104 is 4019401.

1049104 = T77 + T78 + ... + T188.

It is a super-2 number, since 2×10491042 = 2201238405632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (1049101) 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, 36162 + ... + 36190.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

21049104 is an apocalyptic number.

1049104 is a gapful number since it is divisible by the number (14) 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 1049104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339200).

1049104 is an abundant number, since it is smaller than the sum of its proper divisors (1629296).

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

1049104 is a wasteful number, since it uses less digits than its factorization.

1049104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 1049104 is about 1024.2577800534. The cubic root of 1049104 is about 101.6107166244.

The spelling of 1049104 in words is "one million, forty-nine thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 19 28 29 34 38 56 58 68 76 112 116 119 133 136 152 203 232 238 266 272 304 323 406 464 476 493 532 551 646 812 952 986 1064 1102 1292 1624 1904 1972 2128 2204 2261 2584 3248 3451 3857 3944 4408 4522 5168 6902 7714 7888 8816 9044 9367 13804 15428 18088 18734 27608 30856 36176 37468 55216 61712 65569 74936 131138 149872 262276 524552 1049104