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20276298 = 233727997
BaseRepresentation
bin100110101011…
…0010001001010
31102011010212000
41031112101022
520142320143
62002331430
7334226400
oct115262112
942133760
1020276298
1110499979
126959b76
13427c113
14299b470
151ba7bd3
hex135644a

20276298 has 96 divisors (see below), whose sum is σ = 53625600. Its totient is φ = 5660928.

The previous prime is 20276297. The next prime is 20276299. The reversal of 20276298 is 89267202.

20276298 is a `hidden beast` number, since 2 + 0 + 27 + 629 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (20276297) and next prime (20276299).

It is a super-2 number, since 2×202762982 = 822256521169608, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20276293) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 208986 + ... + 209082.

It is an arithmetic number, because the mean of its divisors is an integer number (558600).

Almost surely, 220276298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20276298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26812800).

20276298 is an abundant number, since it is smaller than the sum of its proper divisors (33349302).

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

20276298 is a wasteful number, since it uses less digits than its factorization.

20276298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20276298 is about 4502.9210519395. The cubic root of 20276298 is about 272.6860295815.

The spelling of 20276298 in words is "twenty million, two hundred seventy-six thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 79 97 98 126 147 158 189 194 237 291 294 378 441 474 553 582 679 711 873 882 1106 1323 1358 1422 1659 1746 2037 2133 2619 2646 3318 3871 4074 4266 4753 4977 5238 6111 7663 7742 9506 9954 11613 12222 14259 14931 15326 18333 22989 23226 28518 29862 34839 36666 42777 45978 53641 68967 69678 85554 104517 107282 128331 137934 160923 206901 209034 256662 321846 375487 413802 482769 750974 965538 1126461 1448307 2252922 2896614 3379383 6758766 10138149 20276298