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1120385500 = 225313213259
BaseRepresentation
bin100001011000111…
…1011100111011100
32220002012110222021
41002301323213130
54243304314000
6303101425524
736523056013
oct10261734734
92802173867
101120385500
11525479233
1227326b2a4
1314b16a700
14a8b27a7a
156856111a
hex42c7b9dc

1120385500 has 72 divisors (see below), whose sum is σ = 2649825360. Its totient is φ = 413649600.

The previous prime is 1120385473. The next prime is 1120385533. The reversal of 1120385500 is 55830211.

It is a happy number.

1120385500 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11203855002 = 2510527337220500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 77871 + ... + 91129.

It is an arithmetic number, because the mean of its divisors is an integer number (36803130).

Almost surely, 21120385500 is an apocalyptic number.

1120385500 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 1120385500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324912680).

1120385500 is an abundant number, since it is smaller than the sum of its proper divisors (1529439860).

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

1120385500 is a wasteful number, since it uses less digits than its factorization.

1120385500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13304 (or 13279 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 1120385500 is about 33472.1600737090. The cubic root of 1120385500 is about 1038.6179558976.

The spelling of 1120385500 in words is "one billion, one hundred twenty million, three hundred eighty-five thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 169 250 260 325 338 500 650 676 845 1300 1625 1690 3250 3380 4225 6500 8450 13259 16900 21125 26518 42250 53036 66295 84500 132590 172367 265180 331475 344734 662950 689468 861835 1325900 1657375 1723670 2240771 3314750 3447340 4309175 4481542 6629500 8618350 8963084 11203855 17236700 21545875 22407710 43091750 44815420 56019275 86183500 112038550 224077100 280096375 560192750 1120385500