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2379928005 = 3257131722011
BaseRepresentation
bin1000110111011010…
…1101000111000101
320010212020212110200
42031312231013011
514333230144010
61032054041113
7112656024420
oct21566550705
96125225420
102379928005
111011453154
12565049199
132bc0ab830
141881169b7
15dde0dcc0
hex8ddad1c5

2379928005 has 144 divisors (see below), whose sum is σ = 5396087424. Its totient is φ = 944732160.

The previous prime is 2379927997. The next prime is 2379928021. The reversal of 2379928005 is 5008299732.

It is not a de Polignac number, because 2379928005 - 23 = 2379927997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 143 ways as a sum of consecutive naturals, for example, 1182450 + ... + 1184460.

Almost surely, 22379928005 is an apocalyptic number.

It is an amenable number.

2379928005 is an abundant number, since it is smaller than the sum of its proper divisors (3016159419).

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

2379928005 is a wasteful number, since it uses less digits than its factorization.

2379928005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2076 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2379928005 is about 48784.5057882111. The cubic root of 2379928005 is about 1335.1229866075.

The spelling of 2379928005 in words is "two billion, three hundred seventy-nine million, nine hundred twenty-eight thousand, five".

Divisors: 1 3 5 7 9 13 15 17 21 35 39 45 51 63 65 85 91 105 117 119 153 195 221 255 273 289 315 357 455 585 595 663 765 819 867 1071 1105 1365 1445 1547 1785 1989 2011 2023 2601 3315 3757 4095 4335 4641 5355 6033 6069 7735 9945 10055 10115 11271 13005 13923 14077 18099 18207 18785 23205 26143 26299 30165 30345 33813 34187 42231 56355 69615 70385 78429 78897 90495 91035 102561 126693 130715 131495 169065 170935 183001 211155 235287 236691 239309 307683 392145 394485 444431 512805 549003 581179 633465 717927 915005 1176435 1183455 1196545 1333293 1538415 1647009 1743537 2153781 2222155 2745015 2905895 3111017 3589635 3999879 4068253 5230611 6666465 7555327 8235045 8717685 9333051 10768905 12204759 15555085 19999395 20341265 22665981 26153055 27999153 36614277 37776635 46665255 52887289 61023795 67997943 113329905 139995765 158661867 183071385 264436445 339989715 475985601 793309335 2379928005