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280070020 = 22537253193
BaseRepresentation
bin10000101100011…
…000011110000100
3201112000000211201
4100230120132010
51033144220040
643442512244
76640361446
oct2054303604
9645000751
10280070020
1113410182a
1279965684
1346040509
14292a6496
15198c3a9a
hex10b18784

280070020 has 72 divisors (see below), whose sum is σ = 619068744. Its totient is φ = 106389504.

The previous prime is 280069997. The next prime is 280070033. The reversal of 280070020 is 20070082.

280070020 = T79 + T80 + ... + T1188.

It can be written as a sum of positive squares in 12 ways, for example, as 244036 + 279825984 = 494^2 + 16728^2 .

It is a super-2 number, since 2×2800700202 = 156878432205600800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 280070020.

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 23 ways as a sum of consecutive naturals, for example, 1451044 + ... + 1451236.

It is an arithmetic number, because the mean of its divisors is an integer number (8598177).

Almost surely, 2280070020 is an apocalyptic number.

280070020 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 280070020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309534372).

280070020 is an abundant number, since it is smaller than the sum of its proper divisors (338998724).

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

280070020 is a wasteful number, since it uses less digits than its factorization.

280070020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 280070020 is about 16735.2926475757. The cubic root of 280070020 is about 654.2677908409.

The spelling of 280070020 in words is "two hundred eighty million, seventy thousand, twenty".

Divisors: 1 2 4 5 10 20 37 53 74 106 148 185 193 212 265 370 386 530 740 772 965 1060 1369 1930 1961 2738 3860 3922 5476 6845 7141 7844 9805 10229 13690 14282 19610 20458 27380 28564 35705 39220 40916 51145 71410 72557 102290 142820 145114 204580 264217 290228 362785 378473 528434 725570 756946 1056868 1321085 1451140 1513892 1892365 2642170 3784730 5284340 7569460 14003501 28007002 56014004 70017505 140035010 280070020