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20345124 = 223171929181
BaseRepresentation
bin100110110011…
…1000100100100
31102021122021010
41031213010210
520202020444
62004022220
7334634142
oct115470444
942248233
1020345124
1110536658
126991970
1342a4547
1429b8592
151bbd2b9
hex1367124

20345124 has 96 divisors (see below), whose sum is σ = 55036800. Its totient is φ = 5806080.

The previous prime is 20345093. The next prime is 20345161. The reversal of 20345124 is 42154302.

It is a self number, because there is not a number n which added to its sum of digits gives 20345124.

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 31 ways as a sum of consecutive naturals, for example, 112314 + ... + 112494.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 220345124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20345124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27518400).

20345124 is an abundant number, since it is smaller than the sum of its proper divisors (34691676).

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

20345124 is a wasteful number, since it uses less digits than its factorization.

20345124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 20345124 is about 4510.5569500894. The cubic root of 20345124 is about 272.9942168937.

Adding to 20345124 its reverse (42154302), we get a palindrome (62499426).

The spelling of 20345124 in words is "twenty million, three hundred forty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 19 29 34 38 51 57 58 68 76 87 102 114 116 174 181 204 228 323 348 362 493 543 551 646 724 969 986 1086 1102 1292 1479 1653 1938 1972 2172 2204 2958 3077 3306 3439 3876 5249 5916 6154 6612 6878 9231 9367 10317 10498 12308 13756 15747 18462 18734 20634 20996 28101 31494 36924 37468 41268 56202 58463 62988 89233 99731 112404 116926 175389 178466 199462 233852 267699 299193 350778 356932 398924 535398 598386 701556 1070796 1196772 1695427 3390854 5086281 6781708 10172562 20345124