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1049920 = 26517193
BaseRepresentation
bin100000000010101000000
31222100012221
410000111000
5232044140
634300424
711631664
oct4002500
91870187
101049920
11657903
12427714
132a9b71
141d48a4
1515b14a
hex100540

1049920 has 56 divisors (see below), whose sum is σ = 2660904. Its totient is φ = 393216.

The previous prime is 1049899. The next prime is 1049941. The reversal of 1049920 is 299401.

1049920 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (1049899) and next prime (1049941).

It can be written as a sum of positive squares in 4 ways, for example, as 112896 + 937024 = 336^2 + 968^2 .

It is a super-2 number, since 2×10499202 = 2204664012800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5344 + ... + 5536.

21049920 is an apocalyptic number.

1049920 is a gapful number since it is divisible by the number (10) 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 1049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330452).

1049920 is an abundant number, since it is smaller than the sum of its proper divisors (1610984).

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

1049920 is a wasteful number, since it uses less digits than its factorization.

1049920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 1049920 is about 1024.6560398495. The cubic root of 1049920 is about 101.6370542918.

The spelling of 1049920 in words is "one million, forty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 193 272 320 340 386 544 680 772 965 1088 1360 1544 1930 2720 3088 3281 3860 5440 6176 6562 7720 12352 13124 15440 16405 26248 30880 32810 52496 61760 65620 104992 131240 209984 262480 524960 1049920