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20208528 = 243431503
BaseRepresentation
bin100110100010…
…1101110010000
31102000200220000
41031011232100
520133133103
62001050000
7333524664
oct115055620
942020800
1020208528
1110452a6a
126926900
134257312
1429808a4
151b92aa3
hex1345b90

20208528 has 100 divisors (see below), whose sum is σ = 60496128. Its totient is φ = 6505920.

The previous prime is 20208527. The next prime is 20208541. The reversal of 20208528 is 82580202.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20208523) by changing a digit.

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, 39925 + ... + 40427.

Almost surely, 220208528 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 20208528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30248064).

20208528 is an abundant number, since it is smaller than the sum of its proper divisors (40287600).

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

20208528 is a wasteful number, since it uses less digits than its factorization.

20208528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 20208528 is about 4495.3896382850. The cubic root of 20208528 is about 272.3818886055.

It can be divided in two parts, 20208 and 528, that added together give a 4-th power (20736 = 124).

The spelling of 20208528 in words is "twenty million, two hundred eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 248 279 324 372 432 496 503 558 648 744 837 1006 1116 1296 1488 1509 1674 2012 2232 2511 3018 3348 4024 4464 4527 5022 6036 6696 8048 9054 10044 12072 13392 13581 15593 18108 20088 24144 27162 31186 36216 40176 40743 46779 54324 62372 72432 81486 93558 108648 124744 140337 162972 187116 217296 249488 280674 325944 374232 421011 561348 651888 748464 842022 1122696 1263033 1684044 2245392 2526066 3368088 5052132 6736176 10104264 20208528