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20255600 = 245279641
BaseRepresentation
bin100110101000…
…1001101110000
31102010002110102
41031101031300
520141134400
62002051532
7334112141
oct115211560
942102412
1020255600
1110485372
126949ba8
134272881
142993ac8
151ba19d5
hex1351370

20255600 has 60 divisors (see below), whose sum is σ = 49356960. Its totient is φ = 7987200.

The previous prime is 20255591. The next prime is 20255603. The reversal of 20255600 is 655202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20255603) 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 11 ways as a sum of consecutive naturals, for example, 31280 + ... + 31920.

It is an arithmetic number, because the mean of its divisors is an integer number (822616).

Almost surely, 220255600 is an apocalyptic number.

20255600 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 20255600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24678480).

20255600 is an abundant number, since it is smaller than the sum of its proper divisors (29101360).

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

20255600 is a wasteful number, since it uses less digits than its factorization.

20255600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 20255600 is about 4500.6221792103. The cubic root of 20255600 is about 272.5932122271.

The spelling of 20255600 in words is "twenty million, two hundred fifty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 79 80 100 158 200 316 395 400 632 641 790 1264 1282 1580 1975 2564 3160 3205 3950 5128 6320 6410 7900 10256 12820 15800 16025 25640 31600 32050 50639 51280 64100 101278 128200 202556 253195 256400 405112 506390 810224 1012780 1265975 2025560 2531950 4051120 5063900 10127800 20255600