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280628145 = 3457279179
BaseRepresentation
bin10000101110100…
…000101110110001
3201120001101110000
4100232200232301
51033320100040
643502500213
76645204600
oct2056405661
9646041400
10280628145
11134453096
1279b94669
13461a7575
14293ada37
1519984130
hex10ba0bb1

280628145 has 120 divisors (see below), whose sum is σ = 595900800. Its totient is φ = 125955648.

The previous prime is 280628077. The next prime is 280628147. The reversal of 280628145 is 541826082.

280628145 is a `hidden beast` number, since 28 + 0 + 628 + 1 + 4 + 5 = 666.

It is not a de Polignac number, because 280628145 - 28 = 280627889 is a prime.

It is a super-2 number, since 2×2806281452 = 157504311532282050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (280628147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1567666 + ... + 1567844.

It is an arithmetic number, because the mean of its divisors is an integer number (4965840).

Almost surely, 2280628145 is an apocalyptic number.

It is an amenable number.

280628145 is an abundant number, since it is smaller than the sum of its proper divisors (315272655).

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

280628145 is a wasteful number, since it uses less digits than its factorization.

280628145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 280628145 is about 16751.9594376300. The cubic root of 280628145 is about 654.7021118875.

The spelling of 280628145 in words is "two hundred eighty million, six hundred twenty-eight thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 79 81 105 135 147 179 189 237 245 315 395 405 441 537 553 567 711 735 895 945 1185 1253 1323 1611 1659 2133 2205 2685 2765 2835 3555 3759 3871 3969 4833 4977 6265 6399 6615 8055 8295 8771 10665 11277 11613 14141 14499 14931 18795 19355 19845 24165 24885 26313 31995 33831 34839 42423 43855 44793 56385 58065 70705 72495 74655 78939 98987 101493 104517 127269 131565 169155 174195 212115 223965 236817 296961 313551 381807 394695 494935 507465 522585 636345 692909 710451 890883 1145421 1184085 1484805 1567755 1909035 2078727 2672649 3464545 3552255 4454415 5727105 6236181 8017947 10393635 13363245 18708543 31180905 40089735 56125629 93542715 280628145