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20392000 = 26532549
BaseRepresentation
bin100110111001…
…0100001000000
31102101000120021
41031302201000
520210021000
62005023224
7335220616
oct115624100
942330507
1020392000
11105688a2
1269b4b14
1342bc995
1429cb6b6
151bcc11a
hex1372840

20392000 has 56 divisors (see below), whose sum is σ = 50520600. Its totient is φ = 8153600.

The previous prime is 20391979. The next prime is 20392013. The reversal of 20392000 is 29302.

It can be written as a sum of positive squares in 4 ways, for example, as 33856 + 20358144 = 184^2 + 4512^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6726 + ... + 9274.

Almost surely, 220392000 is an apocalyptic number.

20392000 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 20392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25260300).

20392000 is an abundant number, since it is smaller than the sum of its proper divisors (30128600).

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

20392000 is an equidigital number, since it uses as much as digits as its factorization.

20392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 20392000 is about 4515.7502145269. The cubic root of 20392000 is about 273.2037193654.

It can be divided in two parts, 20 and 392000, that multiplied together give a square (7840000 = 28002).

The spelling of 20392000 in words is "twenty million, three hundred ninety-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 2549 4000 5098 8000 10196 12745 20392 25490 40784 50980 63725 81568 101960 127450 163136 203920 254900 318625 407840 509800 637250 815680 1019600 1274500 2039200 2549000 4078400 5098000 10196000 20392000