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20258424 = 233517613
BaseRepresentation
bin100110101000…
…1111001111000
31102010020100000
41031101321320
520141232144
62002113000
7334123314
oct115217170
942106300
1020258424
11104874aa
12694b760
134273c44
142994b44
151ba2769
hex1351e78

20258424 has 96 divisors (see below), whose sum is σ = 60343920. Its totient is φ = 6345216.

The previous prime is 20258401. The next prime is 20258437. The reversal of 20258424 is 42485202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 32742 + ... + 33354.

Almost surely, 220258424 is an apocalyptic number.

20258424 is a gapful number since it is divisible by the number (24) 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 20258424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30171960).

20258424 is an abundant number, since it is smaller than the sum of its proper divisors (40085496).

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

20258424 is a wasteful number, since it uses less digits than its factorization.

20258424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 20258424 is about 4500.9359026762. The cubic root of 20258424 is about 272.6058797933.

The spelling of 20258424 in words is "twenty million, two hundred fifty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 613 648 918 972 1224 1226 1377 1836 1839 1944 2452 2754 3672 3678 4131 4904 5508 5517 7356 8262 10421 11016 11034 14712 16524 16551 20842 22068 31263 33048 33102 41684 44136 49653 62526 66204 83368 93789 99306 125052 132408 148959 187578 198612 250104 281367 297918 375156 397224 562734 595836 750312 844101 1125468 1191672 1688202 2250936 2532303 3376404 5064606 6752808 10129212 20258424