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1082880 = 2932547
BaseRepresentation
bin100001000011000000000
32001000102200
410020120000
5234123010
635113200
712130041
oct4103000
92030380
101082880
1167a647
12442800
132bbb76
142028c8
15165cc0
hex108600

1082880 has 120 divisors (see below), whose sum is σ = 3830112. Its totient is φ = 282624.

The previous prime is 1082801. The next prime is 1082881. The reversal of 1082880 is 882801.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23017 + ... + 23063.

21082880 is an apocalyptic number.

1082880 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 1082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915056).

1082880 is an abundant number, since it is smaller than the sum of its proper divisors (2747232).

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

1082880 is an equidigital number, since it uses as much as digits as its factorization.

1082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 1082880 is about 1040.6152026566. The cubic root of 1082880 is about 102.6896745721.

The spelling of 1082880 in words is "one million, eighty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 47 48 60 64 72 80 90 94 96 120 128 141 144 160 180 188 192 235 240 256 282 288 320 360 376 384 423 470 480 512 564 576 640 705 720 752 768 846 940 960 1128 1152 1280 1410 1440 1504 1536 1692 1880 1920 2115 2256 2304 2560 2820 2880 3008 3384 3760 3840 4230 4512 4608 5640 5760 6016 6768 7520 7680 8460 9024 11280 11520 12032 13536 15040 16920 18048 22560 23040 24064 27072 30080 33840 36096 45120 54144 60160 67680 72192 90240 108288 120320 135360 180480 216576 270720 360960 541440 1082880