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1084720 = 245713149
BaseRepresentation
bin100001000110100110000
32001002221211
410020310300
5234202340
635125504
712135310
oct4106460
92032854
101084720
11680a6a
12443894
132bc960
14203440
151665ea
hex108d30

1084720 has 80 divisors (see below), whose sum is σ = 3124800. Its totient is φ = 340992.

The previous prime is 1084711. The next prime is 1084723. The reversal of 1084720 is 274801.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1084691 and 1084700.

It is not an unprimeable number, because it can be changed into a prime (1084723) 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 15 ways as a sum of consecutive naturals, for example, 7206 + ... + 7354.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

21084720 is an apocalyptic number.

1084720 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 1084720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562400).

1084720 is an abundant number, since it is smaller than the sum of its proper divisors (2040080).

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

1084720 is a wasteful number, since it uses less digits than its factorization.

1084720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 1084720 is about 1041.4989198266. The cubic root of 1084720 is about 102.7478041535.

The spelling of 1084720 in words is "one million, eighty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 149 182 208 260 280 298 364 455 520 560 596 728 745 910 1040 1043 1192 1456 1490 1820 1937 2086 2384 2980 3640 3874 4172 5215 5960 7280 7748 8344 9685 10430 11920 13559 15496 16688 19370 20860 27118 30992 38740 41720 54236 67795 77480 83440 108472 135590 154960 216944 271180 542360 1084720