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20863024 = 2472132389
BaseRepresentation
bin100111110010…
…1100000110000
31110020221200121
41033211200300
520320104044
62023100024
7342222100
oct117454060
943227617
1020863024
111085a776
126ba1614
1344261b0
142ab1200
151c71984
hex13e5830

20863024 has 120 divisors (see below), whose sum is σ = 53434080. Its totient is φ = 7805952.

The previous prime is 20862997. The next prime is 20863039. The reversal of 20863024 is 42036802.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 20863024.

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 23 ways as a sum of consecutive naturals, for example, 234372 + ... + 234460.

It is an arithmetic number, because the mean of its divisors is an integer number (445284).

Almost surely, 220863024 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 20863024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26717040).

20863024 is an abundant number, since it is smaller than the sum of its proper divisors (32571056).

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

20863024 is a wasteful number, since it uses less digits than its factorization.

20863024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 20863024 is about 4567.6059374688. The cubic root of 20863024 is about 275.2912572557.

Adding to 20863024 its reverse (42036802), we get a palindrome (62899826).

Subtracting 20863024 from its reverse (42036802), we obtain a triangular number (21173778 = T6507).

The spelling of 20863024 in words is "twenty million, eight hundred sixty-three thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 16 23 26 28 46 49 52 56 89 91 92 98 104 112 161 178 182 184 196 208 299 322 356 364 368 392 598 623 637 644 712 728 784 1127 1157 1196 1246 1274 1288 1424 1456 2047 2093 2254 2314 2392 2492 2548 2576 4094 4186 4361 4508 4628 4784 4984 5096 8099 8188 8372 8722 9016 9256 9968 10192 14329 14651 16198 16376 16744 17444 18032 18512 26611 28658 29302 32396 32752 33488 34888 53222 56693 57316 58604 64792 69776 100303 106444 113386 114632 117208 129584 186277 200606 212888 226772 229264 234416 372554 401212 425776 453544 745108 802424 907088 1303939 1490216 1604848 2607878 2980432 5215756 10431512 20863024