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1082640 = 243513347
BaseRepresentation
bin100001000010100010000
32001000002210
410020110100
5234121030
635112120
712126246
oct4102420
92030083
101082640
1167a449
12442640
132bba20
14202796
15165bb0
hex108510

1082640 has 80 divisors (see below), whose sum is σ = 3624768. Its totient is φ = 265728.

The previous prime is 1082629. The next prime is 1082647. The reversal of 1082640 is 462801.

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

It is not an unprimeable number, because it can be changed into a prime (1082647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2947 + ... + 3293.

21082640 is an apocalyptic number.

1082640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 1040×1041.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1812384).

1082640 is an abundant number, since it is smaller than the sum of its proper divisors (2542128).

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

1082640 is a wasteful number, since it uses less digits than its factorization.

1082640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1082640 is about 1040.4998798654. The cubic root of 1082640 is about 102.6820875995.

The spelling of 1082640 in words is "one million, eighty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 347 390 520 624 694 780 1040 1041 1388 1560 1735 2082 2776 3120 3470 4164 4511 5205 5552 6940 8328 9022 10410 13533 13880 16656 18044 20820 22555 27066 27760 36088 41640 45110 54132 67665 72176 83280 90220 108264 135330 180440 216528 270660 360880 541320 1082640