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1140332000 = 2553972939
BaseRepresentation
bin100001111111000…
…0001010111100000
32221110201212102112
41003332001113200
54313411111000
6305053134452
740154443043
oct10376012740
92843655375
101140332000
11535762345
12279a8a428
13152332682
14ab63ac5a
156a1a1235
hex43f815e0

1140332000 has 96 divisors (see below), whose sum is σ = 2831643360. Its totient is φ = 451276800.

The previous prime is 1140331979. The next prime is 1140332029. The reversal of 1140332000 is 2330411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386531 + ... + 389469.

It is an arithmetic number, because the mean of its divisors is an integer number (29496285).

Almost surely, 21140332000 is an apocalyptic number.

1140332000 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 1140332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415821680).

1140332000 is an abundant number, since it is smaller than the sum of its proper divisors (1691311360).

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

1140332000 is an equidigital number, since it uses as much as digits as its factorization.

1140332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3061 (or 3043 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 1140332000 is about 33768.8021700504. The cubic root of 1140332000 is about 1044.7453268577.

Adding to 1140332000 its reverse (2330411), we get a palindrome (1142662411).

The spelling of 1140332000 in words is "one billion, one hundred forty million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 97 100 125 160 194 200 250 388 400 485 500 776 800 970 1000 1552 1940 2000 2425 2939 3104 3880 4000 4850 5878 7760 9700 11756 12125 14695 15520 19400 23512 24250 29390 38800 47024 48500 58780 73475 77600 94048 97000 117560 146950 194000 235120 285083 293900 367375 388000 470240 570166 587800 734750 1140332 1175600 1425415 1469500 2280664 2351200 2850830 2939000 4561328 5701660 5878000 7127075 9122656 11403320 11756000 14254150 22806640 28508300 35635375 45613280 57016600 71270750 114033200 142541500 228066400 285083000 570166000 1140332000