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1099080 = 233254371
BaseRepresentation
bin100001100010101001000
32001211122200
410030111020
5240132310
635320200
712225213
oct4142510
92054580
101099080
11690834
12450060
132c6358
1420877a
1516a9c0
hex10c548

1099080 has 96 divisors (see below), whose sum is σ = 3706560. Its totient is φ = 282240.

The previous prime is 1099079. The next prime is 1099081. The reversal of 1099080 is 809901.

It is an interprime number because it is at equal distance from previous prime (1099079) and next prime (1099081).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1099081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15445 + ... + 15515.

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

21099080 is an apocalyptic number.

1099080 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 1099080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853280).

1099080 is an abundant number, since it is smaller than the sum of its proper divisors (2607480).

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

1099080 is a wasteful number, since it uses less digits than its factorization.

1099080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 1099080 is about 1048.3701636350. The cubic root of 1099080 is about 103.1992248004.

The spelling of 1099080 in words is "one million, ninety-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 71 72 86 90 120 129 142 172 180 213 215 258 284 344 355 360 387 426 430 516 568 639 645 710 774 852 860 1032 1065 1278 1290 1420 1548 1704 1720 1935 2130 2556 2580 2840 3053 3096 3195 3870 4260 5112 5160 6106 6390 7740 8520 9159 12212 12780 15265 15480 18318 24424 25560 27477 30530 36636 45795 54954 61060 73272 91590 109908 122120 137385 183180 219816 274770 366360 549540 1099080