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1140231200 = 25521519439
BaseRepresentation
bin100001111110110…
…1000110000100000
32221110112202011012
41003331220300200
54313344344300
6305051040052
740153543133
oct10375506040
92843482135
101140231200
115356a3639
12279a40028
131522c8824
14ab61221a
156a181435
hex43f68c20

1140231200 has 72 divisors (see below), whose sum is σ = 2802320640. Its totient is φ = 453024000.

The previous prime is 1140231149. The next prime is 1140231221. The reversal of 1140231200 is 21320411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116081 + ... + 125519.

It is an arithmetic number, because the mean of its divisors is an integer number (38921120).

Almost surely, 21140231200 is an apocalyptic number.

1140231200 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 1140231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401160320).

1140231200 is an abundant number, since it is smaller than the sum of its proper divisors (1662089440).

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

1140231200 is a wasteful number, since it uses less digits than its factorization.

1140231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9610 (or 9597 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1140231200 is about 33767.3096352078. The cubic root of 1140231200 is about 1044.7145424218.

Adding to 1140231200 its reverse (21320411), we get a palindrome (1161551611).

The spelling of 1140231200 in words is "one billion, one hundred forty million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 151 160 200 302 400 604 755 800 1208 1510 2416 3020 3775 4832 6040 7550 9439 12080 15100 18878 24160 30200 37756 47195 60400 75512 94390 120800 151024 188780 235975 302048 377560 471950 755120 943900 1425289 1510240 1887800 2850578 3775600 5701156 7126445 7551200 11402312 14252890 22804624 28505780 35632225 45609248 57011560 71264450 114023120 142528900 228046240 285057800 570115600 1140231200