Search a number
-
+
20433280 = 27574561
BaseRepresentation
bin100110111110…
…0100110000000
31102110010012011
41031330212000
520212331110
62005542304
7335452150
oct115744600
942403164
1020433280
111059690a
126a14994
1343056ca
1429dc760
151bd948a
hex137c980

20433280 has 64 divisors (see below), whose sum is σ = 55838880. Its totient is φ = 7004160.

The previous prime is 20433263. The next prime is 20433289. The reversal of 20433280 is 8233402.

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 (20433289) 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, 2200 + ... + 6760.

Almost surely, 220433280 is an apocalyptic number.

20433280 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 20433280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27919440).

20433280 is an abundant number, since it is smaller than the sum of its proper divisors (35405600).

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

20433280 is an equidigital number, since it uses as much as digits as its factorization.

20433280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4587 (or 4575 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 20433280 is about 4520.3185728442. The cubic root of 20433280 is about 273.3879459915.

Adding to 20433280 its reverse (8233402), we get a palindrome (28666682).

The spelling of 20433280 in words is "twenty million, four hundred thirty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 4561 9122 18244 22805 31927 36488 45610 63854 72976 91220 127708 145952 159635 182440 255416 291904 319270 364880 510832 583808 638540 729760 1021664 1277080 1459520 2043328 2554160 2919040 4086656 5108320 10216640 20433280