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8028420 = 2235172463
BaseRepresentation
bin11110101000000100000100
3120002212220220
4132220010010
54023402140
6444024340
7125145321
oct36500404
916085826
108028420
114593964
1228320b0
13188135a
1410cdb48
15a88bd0
hex7a8104

8028420 has 72 divisors (see below), whose sum is σ = 23931264. Its totient is φ = 2010624.

The previous prime is 8028413. The next prime is 8028439. The reversal of 8028420 is 248208.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17109 + ... + 17571.

Almost surely, 28028420 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 8028420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11965632).

8028420 is an abundant number, since it is smaller than the sum of its proper divisors (15902844).

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

8028420 is a wasteful number, since it uses less digits than its factorization.

8028420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 8028420 is about 2833.4466644001. The cubic root of 8028420 is about 200.2365534354.

It can be divided in two parts, 8028 and 420, that added together give a palindrome (8448).

The spelling of 8028420 in words is "eight million, twenty-eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 289 340 463 510 578 867 926 1020 1156 1389 1445 1734 1852 2315 2778 2890 3468 4335 4630 5556 5780 6945 7871 8670 9260 13890 15742 17340 23613 27780 31484 39355 47226 78710 94452 118065 133807 157420 236130 267614 401421 472260 535228 669035 802842 1338070 1605684 2007105 2676140 4014210 8028420