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20423232 = 263353223
BaseRepresentation
bin100110111101…
…0001001000000
31102102121102000
41031322021000
520212020412
62005424000
7335410644
oct115721100
942377360
1020423232
111058a305
126a0b000
134300c6b
1429d8c24
151bd64dc
hex137a240

20423232 has 112 divisors (see below), whose sum is σ = 61447680. Its totient is φ = 6649344.

The previous prime is 20423231. The next prime is 20423257. The reversal of 20423232 is 23232402.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20423231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91473 + ... + 91695.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 220423232 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 20423232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30723840).

20423232 is an abundant number, since it is smaller than the sum of its proper divisors (41024448).

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

20423232 is a wasteful number, since it uses less digits than its factorization.

20423232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 20423232 is about 4519.2070100848. The cubic root of 20423232 is about 273.3431260950.

Adding to 20423232 its reverse (23232402), we get a palindrome (43655634).

It can be divided in two parts, 204 and 23232, that added together give a triangular number (23436 = T216).

The spelling of 20423232 in words is "twenty million, four hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 144 159 192 212 216 223 288 318 424 432 446 477 576 636 669 848 864 892 954 1272 1338 1431 1696 1728 1784 1908 2007 2544 2676 2862 3392 3568 3816 4014 5088 5352 5724 6021 7136 7632 8028 10176 10704 11448 11819 12042 14272 15264 16056 21408 22896 23638 24084 30528 32112 35457 42816 45792 47276 48168 64224 70914 91584 94552 96336 106371 128448 141828 189104 192672 212742 283656 319113 378208 385344 425484 567312 638226 756416 850968 1134624 1276452 1701936 2269248 2552904 3403872 5105808 6807744 10211616 20423232