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1130053200 = 243526591429
BaseRepresentation
bin100001101011011…
…0011111001010000
32220202101122120020
41003112303321100
54303243200300
6304044543440
740001202513
oct10326637120
92822348506
101130053200
1152a981771
12276551b80
13150173c43
14aa122d7a
15693208a0
hex435b3e50

1130053200 has 120 divisors (see below), whose sum is σ = 3627967200. Its totient is φ = 300679680.

The previous prime is 1130053159. The next prime is 1130053207. The reversal of 1130053200 is 23500311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1130053200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130053207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 790086 + ... + 791514.

It is an arithmetic number, because the mean of its divisors is an integer number (30233060).

Almost surely, 21130053200 is an apocalyptic number.

1130053200 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 1130053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813983600).

1130053200 is an abundant number, since it is smaller than the sum of its proper divisors (2497914000).

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

1130053200 is a wasteful number, since it uses less digits than its factorization.

1130053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 1130053200 is about 33616.2639209059. The cubic root of 1130053200 is about 1041.5967827961.

Adding to 1130053200 its reverse (23500311), we get a palindrome (1153553511).

The spelling of 1130053200 in words is "one billion, one hundred thirty million, fifty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 659 1200 1318 1429 1977 2636 2858 3295 3954 4287 5272 5716 6590 7145 7908 8574 9885 10544 11432 13180 14290 15816 16475 17148 19770 21435 22864 26360 28580 31632 32950 34296 35725 39540 42870 49425 52720 57160 65900 68592 71450 79080 85740 98850 107175 114320 131800 142900 158160 171480 197700 214350 263600 285800 342960 395400 428700 571600 790800 857400 941711 1714800 1883422 2825133 3766844 4708555 5650266 7533688 9417110 11300532 14125665 15067376 18834220 22601064 23542775 28251330 37668440 45202128 47085550 56502660 70628325 75336880 94171100 113005320 141256650 188342200 226010640 282513300 376684400 565026600 1130053200