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280380528 = 2434673229
BaseRepresentation
bin10000101101100…
…100010001110000
3201112120210210000
4100231210101300
51033234134103
643453310000
76643123641
oct2055442160
9645523700
10280380528
111342a404a
1279a95300
134611b94c
14293476c8
1519935aa3
hex10b64470

280380528 has 100 divisors (see below), whose sum is σ = 823869640. Its totient is φ = 92036736.

The previous prime is 280380493. The next prime is 280380539. The reversal of 280380528 is 825083082.

It is a super-2 number, since 2×2803805282 = 157226480963117568, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 280380492 and 280380501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 85218 + ... + 88446.

Almost surely, 2280380528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 280380528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411934820).

280380528 is an abundant number, since it is smaller than the sum of its proper divisors (543489112).

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

280380528 is a wasteful number, since it uses less digits than its factorization.

280380528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316 (or 3301 counting only the distinct ones).

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

The square root of 280380528 is about 16744.5671189195. The cubic root of 280380528 is about 654.5094927212.

The spelling of 280380528 in words is "two hundred eighty million, three hundred eighty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 67 72 81 108 134 144 162 201 216 268 324 402 432 536 603 648 804 1072 1206 1296 1608 1809 2412 3216 3229 3618 4824 5427 6458 7236 9648 9687 10854 12916 14472 19374 21708 25832 28944 29061 38748 43416 51664 58122 77496 86832 87183 116244 154992 174366 216343 232488 261549 348732 432686 464976 523098 649029 697464 865372 1046196 1298058 1394928 1730744 1947087 2092392 2596116 3461488 3894174 4184784 5192232 5841261 7788348 10384464 11682522 15576696 17523783 23365044 31153392 35047566 46730088 70095132 93460176 140190264 280380528