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20241012 = 223112359113
BaseRepresentation
bin100110100110…
…1101001110100
31102002100110010
41031031221310
520140203022
62001500220
7334021461
oct115155164
942070403
1020241012
1110475410
126941670
13426903c
14298c668
151b9c50c
hex134da74

20241012 has 96 divisors (see below), whose sum is σ = 55157760. Its totient is φ = 5716480.

The previous prime is 20240977. The next prime is 20241017. The reversal of 20241012 is 21014202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20241017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179068 + ... + 179180.

It is an arithmetic number, because the mean of its divisors is an integer number (574560).

Almost surely, 220241012 is an apocalyptic number.

20241012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20241012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27578880).

20241012 is an abundant number, since it is smaller than the sum of its proper divisors (34916748).

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

20241012 is a wasteful number, since it uses less digits than its factorization.

20241012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 20241012 is about 4499.0012224937. The cubic root of 20241012 is about 272.5277563400.

Adding to 20241012 its reverse (21014202), we get a palindrome (41255214).

It can be divided in two parts, 202 and 41012, that added together give a palindrome (41214).

The spelling of 20241012 in words is "twenty million, two hundred forty-one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 59 66 69 92 113 118 132 138 177 226 236 253 276 339 354 452 506 649 678 708 759 1012 1243 1298 1356 1357 1518 1947 2486 2596 2599 2714 3036 3729 3894 4071 4972 5198 5428 6667 7458 7788 7797 8142 10396 13334 14916 14927 15594 16284 20001 26668 28589 29854 31188 40002 44781 57178 59708 73337 80004 85767 89562 114356 146674 153341 171534 179124 220011 293348 306682 343068 440022 460023 613364 880044 920046 1686751 1840092 3373502 5060253 6747004 10120506 20241012