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20019072 = 273371409
BaseRepresentation
bin100110001011…
…1011110000000
31101200002000010
41030113132000
520111102242
61553024520
7332105433
oct114273600
941602003
1020019072
1110333697
126855140
1341bc008
14293181a
151b5689c
hex1317780

20019072 has 64 divisors (see below), whose sum is σ = 54651600. Its totient is φ = 6488064.

The previous prime is 20019061. The next prime is 20019073. The reversal of 20019072 is 27091002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20019073) 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 7 ways as a sum of consecutive naturals, for example, 13504 + ... + 14912.

Almost surely, 220019072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20019072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27325800).

20019072 is an abundant number, since it is smaller than the sum of its proper divisors (34632528).

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

20019072 is a wasteful number, since it uses less digits than its factorization.

20019072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 20019072 is about 4474.2677613214. The cubic root of 20019072 is about 271.5280165357.

The spelling of 20019072 in words is "twenty million, nineteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1409 1776 2368 2818 3552 4227 4736 5636 7104 8454 11272 14208 16908 22544 33816 45088 52133 67632 90176 104266 135264 156399 180352 208532 270528 312798 417064 541056 625596 834128 1251192 1668256 2502384 3336512 5004768 6673024 10009536 20019072