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20851248 = 243111723101
BaseRepresentation
bin100111110001…
…0101000110000
31110020100112110
41033202220300
520314214443
62022525320
7342142545
oct117425060
943210473
1020851248
1110851940
126b96840
134420a22
142aaabcc
151c6d233
hex13e2a30

20851248 has 160 divisors (see below), whose sum is σ = 65567232. Its totient is φ = 5632000.

The previous prime is 20851223. The next prime is 20851253. The reversal of 20851248 is 84215802.

It is a plaindrome in base 14.

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 31 ways as a sum of consecutive naturals, for example, 206398 + ... + 206498.

Almost surely, 220851248 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 20851248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32783616).

20851248 is an abundant number, since it is smaller than the sum of its proper divisors (44715984).

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

20851248 is a wasteful number, since it uses less digits than its factorization.

20851248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 20851248 is about 4566.3166775860. The cubic root of 20851248 is about 275.2394520463.

It can be divided in two parts, 2085 and 1248, that added together give a palindrome (3333).

The spelling of 20851248 in words is "twenty million, eight hundred fifty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 23 24 33 34 44 46 48 51 66 68 69 88 92 101 102 132 136 138 176 184 187 202 204 253 264 272 276 303 368 374 391 404 408 506 528 552 561 606 748 759 782 808 816 1012 1104 1111 1122 1173 1212 1496 1518 1564 1616 1717 2024 2222 2244 2323 2346 2424 2992 3036 3128 3333 3434 4048 4301 4444 4488 4646 4692 4848 5151 6072 6256 6666 6868 6969 8602 8888 8976 9292 9384 10302 12144 12903 13332 13736 13938 17204 17776 18584 18768 18887 20604 25553 25806 26664 27472 27876 34408 37168 37774 39491 41208 51106 51612 53328 55752 56661 68816 75548 76659 78982 82416 102212 103224 111504 113322 118473 151096 153318 157964 204424 206448 226644 236946 302192 306636 315928 408848 434401 453288 473892 613272 631856 868802 906576 947784 1226544 1303203 1737604 1895568 2606406 3475208 5212812 6950416 10425624 20851248