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284628020 = 22553268517
BaseRepresentation
bin10000111101110…
…001010000110100
3201211120121020112
4100331301100310
51040331044040
644124322152
710024204205
oct2075612064
9654517215
10284628020
11136735276
127b3a3358
1346c78061
1429b315ac
1519ec4365
hex10f71434

284628020 has 24 divisors (see below), whose sum is σ = 608998824. Its totient is φ = 111702656.

The previous prime is 284628017. The next prime is 284628041. The reversal of 284628020 is 20826482.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 107578384 + 177049636 = 10372^2 + 13306^2 .

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 133199 + ... + 135318.

It is an arithmetic number, because the mean of its divisors is an integer number (25374951).

Almost surely, 2284628020 is an apocalyptic number.

284628020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284628020 is an abundant number, since it is smaller than the sum of its proper divisors (324370804).

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

284628020 is a wasteful number, since it uses less digits than its factorization.

284628020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268579 (or 268577 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 284628020 is about 16870.9223221494. The cubic root of 284628020 is about 657.7980028081.

The spelling of 284628020 in words is "two hundred eighty-four million, six hundred twenty-eight thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 268517 537034 1074068 1342585 2685170 5370340 14231401 28462802 56925604 71157005 142314010 284628020