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380103075 = 3252111959137
BaseRepresentation
bin10110101001111…
…110100110100011
3222111020020101200
4112221332212203
51234301244300
6101414532243
712263552142
oct2651764643
9874206350
10380103075
11185616080
12a7367083
1360996081
14386a5759
1523583200
hex16a7e9a3

380103075 has 144 divisors (see below), whose sum is σ = 800841600. Its totient is φ = 170380800.

The previous prime is 380103071. The next prime is 380103079. The reversal of 380103075 is 570301083.

It is an interprime number because it is at equal distance from previous prime (380103071) and next prime (380103079).

It is not a de Polignac number, because 380103075 - 22 = 380103071 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (380103071) by changing a digit.

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, 2774407 + ... + 2774543.

It is an arithmetic number, because the mean of its divisors is an integer number (5561400).

Almost surely, 2380103075 is an apocalyptic number.

380103075 is an abundant number, since it is smaller than the sum of its proper divisors (420738525).

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

380103075 is a wasteful number, since it uses less digits than its factorization.

380103075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 380103075 is about 19496.2323283244. The cubic root of 380103075 is about 724.3811286298.

The spelling of 380103075 in words is "three hundred eighty million, one hundred three thousand, seventy-five".

Divisors: 1 3 5 9 11 15 19 25 33 45 55 57 59 75 95 99 137 165 171 177 209 225 275 285 295 411 475 495 531 627 649 685 825 855 885 1045 1121 1233 1425 1475 1507 1881 1947 2055 2475 2603 2655 3135 3245 3363 3425 4275 4425 4521 5225 5605 5841 6165 7535 7809 8083 9405 9735 10089 10275 12331 13015 13275 13563 15675 16225 16815 22605 23427 24249 28025 28633 29205 30825 36993 37675 39045 40415 47025 48675 50445 61655 65075 67815 72747 84075 85899 88913 110979 113025 117135 121245 143165 146025 153577 184965 195225 202075 252225 257697 266739 308275 339075 363735 429495 444565 460731 554895 585675 606225 715825 767885 800217 924825 1288485 1333695 1382193 1689347 1818675 2147475 2222825 2303655 2774475 3839425 4001085 5068041 6442425 6668475 6910965 8446735 11518275 15204123 20005425 25340205 34554825 42233675 76020615 126701025 380103075