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1084980 = 2235132107
BaseRepresentation
bin100001000111000110100
32001010022110
410020320310
5234204410
635131020
712136131
oct4107064
92033273
101084980
11681186
12443a70
132bcb00
14203588
15166720
hex108e34

1084980 has 72 divisors (see below), whose sum is σ = 3320352. Its totient is φ = 264576.

The previous prime is 1084949. The next prime is 1084981. The reversal of 1084980 is 894801.

It is a happy number.

1084980 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1084981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10087 + ... + 10193.

It is an arithmetic number, because the mean of its divisors is an integer number (46116).

21084980 is an apocalyptic number.

1084980 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 1084980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660176).

1084980 is an abundant number, since it is smaller than the sum of its proper divisors (2235372).

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

1084980 is a wasteful number, since it uses less digits than its factorization.

1084980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 1084980 is about 1041.6237324485. The cubic root of 1084980 is about 102.7560128140.

The spelling of 1084980 in words is "one million, eighty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 107 130 156 169 195 214 260 321 338 390 428 507 535 642 676 780 845 1014 1070 1284 1391 1605 1690 2028 2140 2535 2782 3210 3380 4173 5070 5564 6420 6955 8346 10140 13910 16692 18083 20865 27820 36166 41730 54249 72332 83460 90415 108498 180830 216996 271245 361660 542490 1084980