Search a number
-
+
1105989120 = 2933516001
BaseRepresentation
bin100000111101100…
…0000111000000000
32212002010001212000
41001323000320000
54231113122440
6301425104000
736256516035
oct10173007000
92762101760
101105989120
11518335aa5
1226a488000
13148199a42
14a6c5b38c
156716a730
hex41ec0e00

1105989120 has 160 divisors (see below), whose sum is σ = 3928811040. Its totient is φ = 294912000.

The previous prime is 1105989119. The next prime is 1105989127. The reversal of 1105989120 is 219895011.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105989127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61120 + ... + 77120.

It is an arithmetic number, because the mean of its divisors is an integer number (24555069).

Almost surely, 21105989120 is an apocalyptic number.

1105989120 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 1105989120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964405520).

1105989120 is an abundant number, since it is smaller than the sum of its proper divisors (2822821920).

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

1105989120 is an equidigital number, since it uses as much as digits as its factorization.

1105989120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16033 (or 16011 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The square root of 1105989120 is about 33256.4147195695. The cubic root of 1105989120 is about 1034.1501951134.

The spelling of 1105989120 in words is "one billion, one hundred five million, nine hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 16001 17280 23040 32002 34560 48003 64004 69120 80005 96006 128008 144009 160010 192012 240015 256016 288018 320020 384024 432027 480030 512032 576036 640040 720045 768048 864054 960060 1024064 1152072 1280080 1440090 1536096 1728108 1920120 2048128 2160135 2304144 2560160 2880180 3072192 3456216 3840240 4096256 4320270 4608288 5120320 5760360 6144384 6912432 7680480 8192512 8640540 9216576 10240640 11520720 12288768 13824864 15360960 17281080 18433152 20481280 23041440 24577536 27649728 30721920 34562160 36866304 40962560 46082880 55299456 61443840 69124320 73732608 92165760 110598912 122887680 138248640 184331520 221197824 276497280 368663040 552994560 1105989120