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1140422000 = 24532232557
BaseRepresentation
bin100001111111001…
…0111010101110000
32221110220102212212
41003332113111300
54313422001000
6305055111252
740155266324
oct10376272560
92843812785
101140422000
11535813a23
12279b12528
13152364623
14ab661984
156a1bcc35
hex43f97570

1140422000 has 80 divisors (see below), whose sum is σ = 2770989312. Its totient is φ = 453945600.

The previous prime is 1140421993. The next prime is 1140422057. The reversal of 1140422000 is 2240411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444722 + ... + 447278.

Almost surely, 21140422000 is an apocalyptic number.

1140422000 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 1140422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385494656).

1140422000 is an abundant number, since it is smaller than the sum of its proper divisors (1630567312).

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

1140422000 is a wasteful number, since it uses less digits than its factorization.

1140422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1140422000 is about 33770.1347347031. The cubic root of 1140422000 is about 1044.7728114283.

Adding to 1140422000 its reverse (2240411), we get a palindrome (1142662411).

The spelling of 1140422000 in words is "one billion, one hundred forty million, four hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 223 250 400 446 500 892 1000 1115 1784 2000 2230 2557 3568 4460 5114 5575 8920 10228 11150 12785 17840 20456 22300 25570 27875 40912 44600 51140 55750 63925 89200 102280 111500 127850 204560 223000 255700 319625 446000 511400 570211 639250 1022800 1140422 1278500 2280844 2557000 2851055 4561688 5114000 5702110 9123376 11404220 14255275 22808440 28510550 45616880 57021100 71276375 114042200 142552750 228084400 285105500 570211000 1140422000