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20355800 = 2352175987
BaseRepresentation
bin100110110100…
…1101011011000
31102022011220112
41031221223120
520202341200
62004143452
7335010233
oct115515330
942264815
1020355800
1110543683
126997b88
1342a936a
1429bc41a
151bc1535
hex1369ad8

20355800 has 48 divisors (see below), whose sum is σ = 50119560. Its totient is φ = 7662080.

The previous prime is 20355791. The next prime is 20355827. The reversal of 20355800 is 855302.

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 11 ways as a sum of consecutive naturals, for example, 407 + ... + 6393.

Almost surely, 220355800 is an apocalyptic number.

20355800 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 20355800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25059780).

20355800 is an abundant number, since it is smaller than the sum of its proper divisors (29763760).

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

20355800 is a wasteful number, since it uses less digits than its factorization.

20355800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6020 (or 6011 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 20355800 is about 4511.7402407497. The cubic root of 20355800 is about 273.0419593179.

The spelling of 20355800 in words is "twenty million, three hundred fifty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 5987 11974 23948 29935 47896 59870 101779 119740 149675 203558 239480 299350 407116 508895 598700 814232 1017790 1197400 2035580 2544475 4071160 5088950 10177900 20355800