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1089960 = 233531293
BaseRepresentation
bin100001010000110101000
32001101010220
410022012220
5234334320
635210040
712156504
oct4120650
92041126
101089960
116849a3
12446920
132c2161
14205304
15167e40
hex10a1a8

1089960 has 64 divisors (see below), whose sum is σ = 3386880. Its totient is φ = 280320.

The previous prime is 1089943. The next prime is 1089961. The reversal of 1089960 is 699801.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1089961) 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 15 ways as a sum of consecutive naturals, for example, 3574 + ... + 3866.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

21089960 is an apocalyptic number.

1089960 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 1089960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693440).

1089960 is an abundant number, since it is smaller than the sum of its proper divisors (2296920).

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

1089960 is a wasteful number, since it uses less digits than its factorization.

1089960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 1089960 is about 1044.0114941896. The cubic root of 1089960 is about 102.9129877519.

The spelling of 1089960 in words is "one million, eighty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 293 310 372 465 586 620 744 879 930 1172 1240 1465 1758 1860 2344 2930 3516 3720 4395 5860 7032 8790 9083 11720 17580 18166 27249 35160 36332 45415 54498 72664 90830 108996 136245 181660 217992 272490 363320 544980 1089960