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20642328 = 2332725851
BaseRepresentation
bin100111010111…
…1101000011000
31102211201221200
41032233220120
520241023303
62014234200
7340312500
oct116575030
942751850
1020642328
1110719983
126ab5960
1343798c5
142a54a00
151c2b3a3
hex13afa18

20642328 has 72 divisors (see below), whose sum is σ = 65044980. Its totient is φ = 5896800.

The previous prime is 20642299. The next prime is 20642351. The reversal of 20642328 is 82324602.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×206423282 = 852211410519168, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 603 + ... + 6453.

Almost surely, 220642328 is an apocalyptic number.

20642328 is a gapful number since it is divisible by the number (28) 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 20642328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32522490).

20642328 is an abundant number, since it is smaller than the sum of its proper divisors (44402652).

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

20642328 is a wasteful number, since it uses less digits than its factorization.

20642328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5877 (or 5863 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 20642328 is about 4543.3828806298. The cubic root of 20642328 is about 274.3171067120.

The spelling of 20642328 in words is "twenty million, six hundred forty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 5851 11702 17553 23404 35106 40957 46808 52659 70212 81914 105318 122871 140424 163828 210636 245742 286699 327656 368613 421272 491484 573398 737226 860097 982968 1146796 1474452 1720194 2293592 2580291 2948904 3440388 5160582 6880776 10321164 20642328