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1084680 = 2332523131
BaseRepresentation
bin100001000110100001000
32001002220100
410020310020
5234202210
635125400
712135222
oct4106410
92032810
101084680
11680a33
12443860
132bc92c
14203412
151665c0
hex108d08

1084680 has 96 divisors (see below), whose sum is σ = 3706560. Its totient is φ = 274560.

The previous prime is 1084673. The next prime is 1084697. The reversal of 1084680 is 864801.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8215 + ... + 8345.

It is an arithmetic number, because the mean of its divisors is an integer number (38610).

21084680 is an apocalyptic number.

1084680 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 1084680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853280).

1084680 is an abundant number, since it is smaller than the sum of its proper divisors (2621880).

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

1084680 is a wasteful number, since it uses less digits than its factorization.

1084680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1084680 is about 1041.4797165572. The cubic root of 1084680 is about 102.7465411662.

It can be divided in two parts, 1084 and 680, that added together give a square (1764 = 422).

The spelling of 1084680 in words is "one million, eighty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 131 138 180 184 207 230 262 276 345 360 393 414 460 524 552 655 690 786 828 920 1035 1048 1179 1310 1380 1572 1656 1965 2070 2358 2620 2760 3013 3144 3930 4140 4716 5240 5895 6026 7860 8280 9039 9432 11790 12052 15065 15720 18078 23580 24104 27117 30130 36156 45195 47160 54234 60260 72312 90390 108468 120520 135585 180780 216936 271170 361560 542340 1084680