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280960420 = 225135320389
BaseRepresentation
bin10000101111110…
…001110110100100
3201120200021020111
4100233301312210
51033411213140
643513542404
76651060406
oct2057616644
9646607214
10280960420
1113465a7a4
127a114a04
1346292890
1429458b76
15199ec7ea
hex10bf1da4

280960420 has 48 divisors (see below), whose sum is σ = 647423280. Its totient is φ = 101776896.

The previous prime is 280960417. The next prime is 280960441. The reversal of 280960420 is 24069082.

It can be written as a sum of positive squares in 8 ways, for example, as 5134756 + 275825664 = 2266^2 + 16608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3586 + ... + 23974.

It is an arithmetic number, because the mean of its divisors is an integer number (13487985).

Almost surely, 2280960420 is an apocalyptic number.

280960420 is a gapful number since it is divisible by the number (20) 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 280960420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323711640).

280960420 is an abundant number, since it is smaller than the sum of its proper divisors (366462860).

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

280960420 is a wasteful number, since it uses less digits than its factorization.

280960420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20464 (or 20462 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 280960420 is about 16761.8740002423. The cubic root of 280960420 is about 654.9604078394.

The spelling of 280960420 in words is "two hundred eighty million, nine hundred sixty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 689 1060 1378 2756 3445 6890 13780 20389 40778 81556 101945 203890 265057 407780 530114 1060228 1080617 1325285 2161234 2650570 4322468 5301140 5403085 10806170 14048021 21612340 28096042 56192084 70240105 140480210 280960420