Search a number
-
+
20452146 = 2311313197
BaseRepresentation
bin100111000000…
…1001100110010
31102111002001220
41032001030302
520213432041
62010205510
7335561151
oct116011462
942432056
1020452146
11105aa000
126a23896
134311180
142a05598
151bded66
hex1381332

20452146 has 64 divisors (see below), whose sum is σ = 48698496. Its totient is φ = 5691840.

The previous prime is 20452123. The next prime is 20452147. The reversal of 20452146 is 64125402.

It is not an unprimeable number, because it can be changed into a prime (20452147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103720 + ... + 103916.

It is an arithmetic number, because the mean of its divisors is an integer number (760914).

Almost surely, 220452146 is an apocalyptic number.

20452146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20452146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24349248).

20452146 is an abundant number, since it is smaller than the sum of its proper divisors (28246350).

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

20452146 is a wasteful number, since it uses less digits than its factorization.

20452146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 20452146 is about 4522.4048912056. The cubic root of 20452146 is about 273.4720595948.

Adding to 20452146 its reverse (64125402), we get a palindrome (84577548).

The spelling of 20452146 in words is "twenty million, four hundred fifty-two thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 197 242 286 363 394 429 591 726 858 1182 1331 1573 2167 2561 2662 3146 3993 4334 4719 5122 6501 7683 7986 9438 13002 15366 17303 23837 28171 34606 47674 51909 56342 71511 84513 103818 143022 169026 262207 309881 524414 619762 786621 929643 1573242 1859286 3408691 6817382 10226073 20452146