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2059370208 = 253271760089
BaseRepresentation
bin111101010111111…
…0111111011100000
312022112001211211200
41322233313323200
513204144321313
6540203241200
7102014233530
oct17257677340
95275054750
102059370208
11967508355
12495819200
1326a86376c
141577114c0
15c0bddb73
hex7abf7ee0

2059370208 has 144 divisors (see below), whose sum is σ = 7086774240. Its totient is φ = 553771008.

The previous prime is 2059370197. The next prime is 2059370239. The reversal of 2059370208 is 8020739502.

It is a happy number.

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 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, 4228 + ... + 64316.

It is an arithmetic number, because the mean of its divisors is an integer number (49213710).

Almost surely, 22059370208 is an apocalyptic number.

2059370208 is a gapful number since it is divisible by the number (28) 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 2059370208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3543387120).

2059370208 is an abundant number, since it is smaller than the sum of its proper divisors (5027404032).

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

2059370208 is a wasteful number, since it uses less digits than its factorization.

2059370208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60129 (or 60118 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 2059370208 is about 45380.2843534502. The cubic root of 2059370208 is about 1272.2666463662.

The spelling of 2059370208 in words is "two billion, fifty-nine million, three hundred seventy thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3808 4284 4896 5712 8568 11424 17136 34272 60089 120178 180267 240356 360534 420623 480712 540801 721068 841246 961424 1021513 1081602 1261869 1442136 1682492 1922848 2043026 2163204 2523738 2884272 3064539 3364984 3785607 4086052 4326408 5047476 5768544 6129078 6729968 7150591 7571214 8172104 8652816 9193617 10094952 12258156 13459936 14301182 15142428 16344208 17305632 18387234 20189904 21451773 24516312 28602364 30284856 32688416 36774468 40379808 42903546 49032624 57204728 60569712 64355319 73548936 85807092 98065248 114409456 121139424 128710638 147097872 171614184 228818912 257421276 294195744 343228368 514842552 686456736 1029685104 2059370208