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20450496 = 2631123421
BaseRepresentation
bin100111000000…
…0110011000000
31102110222210210
41032000303000
520213403441
62010154120
7335553303
oct116006300
942428723
1020450496
11105a8840
126a22940
1343104b1
142a04b3a
151bde616
hex1380cc0

20450496 has 112 divisors (see below), whose sum is σ = 61740288. Its totient is φ = 5913600.

The previous prime is 20450491. The next prime is 20450531. The reversal of 20450496 is 69405402.

It is not an unprimeable number, because it can be changed into a prime (20450491) 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, 48366 + ... + 48786.

Almost surely, 220450496 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 20450496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30870144).

20450496 is an abundant number, since it is smaller than the sum of its proper divisors (41289792).

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

20450496 is a wasteful number, since it uses less digits than its factorization.

20450496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 20450496 is about 4522.2224624625. Note that the first 3 decimals coincide. The cubic root of 20450496 is about 273.4647051745.

Adding to 20450496 its reverse (69405402), we get a palindrome (89855898).

The spelling of 20450496 in words is "twenty million, four hundred fifty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 132 138 176 184 192 253 264 276 352 368 421 506 528 552 704 736 759 842 1012 1056 1104 1263 1472 1518 1684 2024 2112 2208 2526 3036 3368 4048 4416 4631 5052 6072 6736 8096 9262 9683 10104 12144 13472 13893 16192 18524 19366 20208 24288 26944 27786 29049 37048 38732 40416 48576 55572 58098 74096 77464 80832 106513 111144 116196 148192 154928 213026 222288 232392 296384 309856 319539 426052 444576 464784 619712 639078 852104 889152 929568 1278156 1704208 1859136 2556312 3408416 5112624 6816832 10225248 20450496