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20443136 = 21272331
BaseRepresentation
bin100110111111…
…1000000000000
31102110121201012
41031333000000
520213140021
62010100052
7335522660
oct115770000
942417635
1020443136
11105a325a
126a1a628
13430a03c
142a021a0
151bdc35b
hex137f000

20443136 has 104 divisors (see below), whose sum is σ = 50325504. Its totient is φ = 8110080.

The previous prime is 20443123. The next prime is 20443141. The reversal of 20443136 is 63134402.

20443136 = T183 + T184 + ... + T504.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

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, 659441 + ... + 659471.

Almost surely, 220443136 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 20443136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25162752).

20443136 is an abundant number, since it is smaller than the sum of its proper divisors (29882368).

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

20443136 is an equidigital number, since it uses as much as digits as its factorization.

20443136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 20443136 is about 4521.4086300621. The cubic root of 20443136 is about 273.4318951842.

Adding to 20443136 its reverse (63134402), we get a palindrome (83577538).

The spelling of 20443136 in words is "twenty million, four hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 31 32 46 56 62 64 92 112 124 128 161 184 217 224 248 256 322 368 434 448 496 512 644 713 736 868 896 992 1024 1288 1426 1472 1736 1792 1984 2048 2576 2852 2944 3472 3584 3968 4096 4991 5152 5704 5888 6944 7168 7936 9982 10304 11408 11776 13888 14336 15872 19964 20608 22816 23552 27776 28672 31744 39928 41216 45632 47104 55552 63488 79856 82432 91264 94208 111104 126976 159712 164864 182528 222208 319424 329728 365056 444416 638848 659456 730112 888832 1277696 1460224 2555392 2920448 5110784 10221568 20443136