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20320000 = 2854127
BaseRepresentation
bin100110110000…
…0111100000000
31102020100210121
41031200330000
520200220000
62003310024
7334500661
oct115407400
942210717
1020320000
1110519798
12697b314
134295c8c
1429ad368
151bb5b1a
hex1360f00

20320000 has 90 divisors (see below), whose sum is σ = 51083648. Its totient is φ = 8064000.

The previous prime is 20319989. The next prime is 20320007. The reversal of 20320000 is 2302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20320007) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159937 + ... + 160063.

Almost surely, 220320000 is an apocalyptic number.

20320000 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 20320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25541824).

20320000 is an abundant number, since it is smaller than the sum of its proper divisors (30763648).

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

20320000 is an frugal number, since it uses more digits than its factorization.

20320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

The square root of 20320000 is about 4507.7710678339. The cubic root of 20320000 is about 272.8817979525.

Adding to 20320000 its reverse (2302), we get a palindrome (20322302).

The spelling of 20320000 in words is "twenty million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 127 128 160 200 250 254 256 320 400 500 508 625 635 640 800 1000 1016 1250 1270 1280 1600 2000 2032 2500 2540 3175 3200 4000 4064 5000 5080 6350 6400 8000 8128 10000 10160 12700 15875 16000 16256 20000 20320 25400 31750 32000 32512 40000 40640 50800 63500 79375 80000 81280 101600 127000 158750 160000 162560 203200 254000 317500 406400 508000 635000 812800 1016000 1270000 2032000 2540000 4064000 5080000 10160000 20320000