Search a number
-
+
21392000 = 27537191
BaseRepresentation
bin101000110011…
…0101010000000
31111020211022022
41101212222000
520434021000
62042301012
7346554230
oct121465200
944224268
1021392000
1111091143
1271b7768
13457cbb6
142babcc0
151d28585
hex1466a80

21392000 has 128 divisors (see below), whose sum is σ = 61102080. Its totient is φ = 7296000.

The previous prime is 21391999. The next prime is 21392011. The reversal of 21392000 is 29312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 21392000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111905 + ... + 112095.

It is an arithmetic number, because the mean of its divisors is an integer number (477360).

Almost surely, 221392000 is an apocalyptic number.

21392000 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 21392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30551040).

21392000 is an abundant number, since it is smaller than the sum of its proper divisors (39710080).

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

21392000 is an equidigital number, since it uses as much as digits as its factorization.

21392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 21392000 is about 4625.1486462599. The cubic root of 21392000 is about 277.5985095165.

The spelling of 21392000 in words is "twenty-one million, three hundred ninety-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 191 200 224 250 280 320 350 382 400 448 500 560 640 700 764 800 875 896 955 1000 1120 1337 1400 1528 1600 1750 1910 2000 2240 2674 2800 3056 3200 3500 3820 4000 4480 4775 5348 5600 6112 6685 7000 7640 8000 9550 10696 11200 12224 13370 14000 15280 16000 19100 21392 22400 23875 24448 26740 28000 30560 33425 38200 42784 47750 53480 56000 61120 66850 76400 85568 95500 106960 112000 122240 133700 152800 167125 171136 191000 213920 267400 305600 334250 382000 427840 534800 611200 668500 764000 855680 1069600 1337000 1528000 2139200 2674000 3056000 4278400 5348000 10696000 21392000