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20466402 = 23111722937
BaseRepresentation
bin100111000010…
…0101011100010
31102111210121220
41032010223202
520214411102
62010355510
7335650545
oct116045342
942453556
1020466402
1110609790
126a2bb96
1343177c8
142a0a85c
151be41bc
hex1384ae2

20466402 has 96 divisors (see below), whose sum is σ = 50397120. Its totient is φ = 5483520.

The previous prime is 20466377. The next prime is 20466437.

20466402 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×204664022 = 837747221651208, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 553128 + ... + 553164.

It is an arithmetic number, because the mean of its divisors is an integer number (524970).

Almost surely, 220466402 is an apocalyptic number.

20466402 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20466402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25198560).

20466402 is an abundant number, since it is smaller than the sum of its proper divisors (29930718).

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

20466402 is a wasteful number, since it uses less digits than its factorization.

20466402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 20466402 is about 4523.9807691899. The cubic root of 20466402 is about 273.5355853197.

It can be divided in two parts, 2046 and 6402, that added together give a palindrome (8448).

The spelling of 20466402 in words is "twenty million, four hundred sixty-six thousand, four hundred two".

Divisors: 1 2 3 6 11 17 22 29 33 34 37 51 58 66 74 87 102 111 174 187 222 289 319 374 407 493 561 578 629 638 814 867 957 986 1073 1122 1221 1258 1479 1734 1887 1914 2146 2442 2958 3179 3219 3774 5423 6358 6438 6919 8381 9537 10693 10846 11803 13838 16269 16762 18241 19074 20757 21386 23606 25143 32079 32538 35409 36482 41514 50286 54723 64158 70818 92191 109446 117623 184382 200651 235246 276573 310097 352869 401302 553146 601953 620194 705738 930291 1203906 1860582 3411067 6822134 10233201 20466402