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20045124 = 22331147359
BaseRepresentation
bin100110001110…
…1110101000100
31101201101202000
41030131311010
520112420444
61553345300
7332244411
oct114356504
941641660
1020045124
1110351220
126868230
1341cab28
14293b108
151b5e469
hex131dd44

20045124 has 96 divisors (see below), whose sum is σ = 58060800. Its totient is φ = 5928480.

The previous prime is 20045117. The next prime is 20045131. The reversal of 20045124 is 42154002.

It is an interprime number because it is at equal distance from previous prime (20045117) and next prime (20045131).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 20045097 and 20045106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55657 + ... + 56015.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 220045124 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 20045124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030400).

20045124 is an abundant number, since it is smaller than the sum of its proper divisors (38015676).

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

20045124 is a wasteful number, since it uses less digits than its factorization.

20045124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 20045124 is about 4477.1781291345. The cubic root of 20045124 is about 271.6457506239.

Adding to 20045124 its reverse (42154002), we get a palindrome (62199126).

The spelling of 20045124 in words is "twenty million, forty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 47 54 66 94 99 108 132 141 188 198 282 297 359 396 423 517 564 594 718 846 1034 1077 1188 1269 1436 1551 1692 2068 2154 2538 3102 3231 3949 4308 4653 5076 6204 6462 7898 9306 9693 11847 12924 13959 15796 16873 18612 19386 23694 27918 33746 35541 38772 47388 50619 55836 67492 71082 101238 106623 142164 151857 185603 202476 213246 303714 371206 426492 455571 556809 607428 742412 911142 1113618 1670427 1822284 2227236 3340854 5011281 6681708 10022562 20045124