Search a number
-
+
1114428820 = 225299671987
BaseRepresentation
bin100001001101100…
…1101010110010100
32212122222211221111
41002123031112110
54240243210240
6302330024404
736421326421
oct10233152624
92778884844
101114428820
1152207a95a
12271278104
13149b6334b
14a8016d48
1567c861ea
hex426cd594

1114428820 has 48 divisors (see below), whose sum is σ = 2424723840. Its totient is φ = 429738624.

The previous prime is 1114428811. The next prime is 1114428823. The reversal of 1114428820 is 288244111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114428823) 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, 559867 + ... + 561853.

It is an arithmetic number, because the mean of its divisors is an integer number (50515080).

Almost surely, 21114428820 is an apocalyptic number.

1114428820 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 1114428820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212361920).

1114428820 is an abundant number, since it is smaller than the sum of its proper divisors (1310295020).

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

1114428820 is a wasteful number, since it uses less digits than its factorization.

1114428820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 1114428820 is about 33383.0618727522. The cubic root of 1114428820 is about 1036.7740335833.

The spelling of 1114428820 in words is "one billion, one hundred fourteen million, four hundred twenty-eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 967 1934 1987 3868 3974 4835 7948 9670 9935 19340 19870 28043 39740 56086 57623 112172 115246 140215 230492 280430 288115 560860 576230 1152460 1921429 3842858 7685716 9607145 19214290 38428580 55721441 111442882 222885764 278607205 557214410 1114428820