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1090980 = 22325111929
BaseRepresentation
bin100001010010110100100
32001102112200
410022112210
5234402410
635214500
712162462
oct4122644
92042480
101090980
11685740
12447430
132c2767
14205832
151683c0
hex10a5a4

1090980 has 144 divisors (see below), whose sum is σ = 3931200. Its totient is φ = 241920.

The previous prime is 1090979. The next prime is 1090997. The reversal of 1090980 is 890901.

1090980 = T75 + T76 + ... + T190.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37606 + ... + 37634.

It is an arithmetic number, because the mean of its divisors is an integer number (27300).

21090980 is an apocalyptic number.

1090980 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 1044×1045.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1090980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1965600).

1090980 is an abundant number, since it is smaller than the sum of its proper divisors (2840220).

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

1090980 is a wasteful number, since it uses less digits than its factorization.

1090980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 69 counting only the distinct ones).

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

The square root of 1090980 is about 1044.4998803255. The cubic root of 1090980 is about 102.9450802201.

The spelling of 1090980 in words is "one million, ninety thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 29 30 33 36 38 44 45 55 57 58 60 66 76 87 90 95 99 110 114 116 132 145 165 171 174 180 190 198 209 220 228 261 285 290 319 330 342 348 380 396 418 435 495 522 551 570 580 627 638 660 684 836 855 870 957 990 1044 1045 1102 1140 1254 1276 1305 1595 1653 1710 1740 1881 1914 1980 2090 2204 2508 2610 2755 2871 3135 3190 3306 3420 3762 3828 4180 4785 4959 5220 5510 5742 6061 6270 6380 6612 7524 8265 9405 9570 9918 11020 11484 12122 12540 14355 16530 18183 18810 19140 19836 24244 24795 28710 30305 33060 36366 37620 49590 54549 57420 60610 72732 90915 99180 109098 121220 181830 218196 272745 363660 545490 1090980