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1083840 = 26351129
BaseRepresentation
bin100001000100111000000
32001001202020
410020213000
5234140330
635121440
712132612
oct4104700
92031666
101083840
1168033a
12443280
132bc434
14202db2
15166210
hex1089c0

1083840 has 56 divisors (see below), whose sum is σ = 3444240. Its totient is φ = 288768.

The previous prime is 1083839. The next prime is 1083847. The reversal of 1083840 is 483801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1083840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083847) 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, 396 + ... + 1524.

21083840 is an apocalyptic number.

1083840 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 1083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722120).

1083840 is an abundant number, since it is smaller than the sum of its proper divisors (2360400).

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

1083840 is a wasteful number, since it uses less digits than its factorization.

1083840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 1083840 is about 1041.0763660750. The cubic root of 1083840 is about 102.7200112577.

It can be divided in two parts, 10838 and 40, that added together give a triangular number (10878 = T147).

The spelling of 1083840 in words is "one million, eighty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1129 2258 3387 4516 5645 6774 9032 11290 13548 16935 18064 22580 27096 33870 36128 45160 54192 67740 72256 90320 108384 135480 180640 216768 270960 361280 541920 1083840