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20431296 = 263279449
BaseRepresentation
bin100110111110…
…0000111000000
31102110000110200
41031330013000
520212300141
62005525200
7335443314
oct115740700
942400420
1020431296
1110595376
126a13800
134304832
1429dbb44
151bd8ab6
hex137c1c0

20431296 has 84 divisors (see below), whose sum is σ = 59436000. Its totient is φ = 6709248.

The previous prime is 20431277. The next prime is 20431303. The reversal of 20431296 is 69213402.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 45280 + ... + 45728.

Almost surely, 220431296 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 20431296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29718000).

20431296 is an abundant number, since it is smaller than the sum of its proper divisors (39004704).

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

20431296 is a wasteful number, since it uses less digits than its factorization.

20431296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20431296 is about 4520.0991139576. The cubic root of 20431296 is about 273.3790973674.

Adding to 20431296 its reverse (69213402), we get a palindrome (89644698).

The spelling of 20431296 in words is "twenty million, four hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 144 158 192 237 288 316 449 474 576 632 711 898 948 1264 1347 1422 1796 1896 2528 2694 2844 3592 3792 4041 5056 5388 5688 7184 7584 8082 10776 11376 14368 15168 16164 21552 22752 28736 32328 35471 43104 45504 64656 70942 86208 106413 129312 141884 212826 258624 283768 319239 425652 567536 638478 851304 1135072 1276956 1702608 2270144 2553912 3405216 5107824 6810432 10215648 20431296