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1085140 = 225723337
BaseRepresentation
bin100001000111011010100
32001010112101
410020323110
5234211030
635131444
712136450
oct4107324
92033471
101085140
11681311
12443b84
132bcbc4
14203660
151667ca
hex108ed4

1085140 has 48 divisors (see below), whose sum is σ = 2725632. Its totient is φ = 354816.

The previous prime is 1085137. The next prime is 1085141. The reversal of 1085140 is 415801.

It is a super-3 number, since 3×10851403 = 3833350869902232000, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1085141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3052 + ... + 3388.

It is an arithmetic number, because the mean of its divisors is an integer number (56784).

21085140 is an apocalyptic number.

1085140 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 1085140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362816).

1085140 is an abundant number, since it is smaller than the sum of its proper divisors (1640492).

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

1085140 is a wasteful number, since it uses less digits than its factorization.

1085140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 1085140 is about 1041.7005327828. The cubic root of 1085140 is about 102.7610636457.

It can be divided in two parts, 1085 and 140, that added together give a triangular number (1225 = T49).

The spelling of 1085140 in words is "one million, eighty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 337 460 644 674 805 1348 1610 1685 2359 3220 3370 4718 6740 7751 9436 11795 15502 23590 31004 38755 47180 54257 77510 108514 155020 217028 271285 542570 1085140