Search a number
-
+
2076285024 = 2532111315003
BaseRepresentation
bin111101111000001…
…1001100001100000
312100200220012121100
41323300121201200
513223012110044
6542005554400
7102311063052
oct17360314140
95320805540
102076285024
11976010740
1249b415a00
13271206828
14159a758d2
15c2430869
hex7bc19860

2076285024 has 144 divisors (see below), whose sum is σ = 6491669184. Its totient is φ = 624249600.

The previous prime is 2076284993. The next prime is 2076285041. The reversal of 2076285024 is 4205826702.

2076285024 is a `hidden beast` number, since 2 + 0 + 7 + 628 + 5 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2076285024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412507 + ... + 417509.

It is an arithmetic number, because the mean of its divisors is an integer number (45081036).

Almost surely, 22076285024 is an apocalyptic number.

2076285024 is a gapful number since it is divisible by the number (24) 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 2076285024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3245834592).

2076285024 is an abundant number, since it is smaller than the sum of its proper divisors (4415384160).

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

2076285024 is a wasteful number, since it uses less digits than its factorization.

2076285024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5161 (or 5150 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2076285024 is about 45566.2706834781. The cubic root of 2076285024 is about 1275.7404437291.

The spelling of 2076285024 in words is "two billion, seventy-six million, two hundred eighty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 131 132 144 176 198 262 264 288 352 393 396 524 528 786 792 1048 1056 1179 1441 1572 1584 2096 2358 2882 3144 3168 4192 4323 4716 5003 5764 6288 8646 9432 10006 11528 12576 12969 15009 17292 18864 20012 23056 25938 30018 34584 37728 40024 45027 46112 51876 55033 60036 69168 80048 90054 103752 110066 120072 138336 160096 165099 180108 207504 220132 240144 330198 360216 415008 440264 480288 495297 655393 660396 720432 880528 990594 1310786 1320792 1440864 1761056 1966179 1981188 2621572 2641584 3932358 3962376 5243144 5283168 5898537 7209323 7864716 7924752 10486288 11797074 14418646 15729432 15849504 20972576 21627969 23594148 28837292 31458864 43255938 47188296 57674584 62917728 64883907 86511876 94376592 115349168 129767814 173023752 188753184 230698336 259535628 346047504 519071256 692095008 1038142512 2076285024