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20354532 = 22311413761
BaseRepresentation
bin100110110100…
…1010111100100
31102022010011120
41031221113210
520202321112
62004133540
7335003442
oct115512744
942263146
1020354532
1110542730
1269972b0
1342a8903
1429bbb92
151bc0e8c
hex13695e4

20354532 has 48 divisors (see below), whose sum is σ = 53089344. Its totient is φ = 6016000.

The previous prime is 20354527. The next prime is 20354561. The reversal of 20354532 is 23545302.

20354532 is nontrivially palindromic in base 14.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3532 + ... + 7292.

It is an arithmetic number, because the mean of its divisors is an integer number (1106028).

Almost surely, 220354532 is an apocalyptic number.

20354532 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 20354532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26544672).

20354532 is an abundant number, since it is smaller than the sum of its proper divisors (32734812).

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

20354532 is a wasteful number, since it uses less digits than its factorization.

20354532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3820 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 20354532 is about 4511.5997162869. The cubic root of 20354532 is about 273.0362897725.

Adding to 20354532 its reverse (23545302), we get a palindrome (43899834).

The spelling of 20354532 in words is "twenty million, three hundred fifty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1353 1804 2706 3761 5412 7522 11283 15044 22566 41371 45132 82742 124113 154201 165484 248226 308402 462603 496452 616804 925206 1696211 1850412 3392422 5088633 6784844 10177266 20354532