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20418024 = 2331127989
BaseRepresentation
bin100110111100…
…0110111101000
31102102100021010
41031320313220
520211334044
62005343520
7335356524
oct115706750
942370233
1020418024
1110586400
126a07ba0
1342cb793
1429d6d84
151bd4bb9
hex1378de8

20418024 has 96 divisors (see below), whose sum is σ = 57456000. Its totient is φ = 6040320.

The previous prime is 20418011. The next prime is 20418031. The reversal of 20418024 is 42081402.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229372 + ... + 229460.

It is an arithmetic number, because the mean of its divisors is an integer number (598500).

Almost surely, 220418024 is an apocalyptic number.

20418024 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 20418024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28728000).

20418024 is an abundant number, since it is smaller than the sum of its proper divisors (37037976).

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

20418024 is a wasteful number, since it uses less digits than its factorization.

20418024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 20418024 is about 4518.6307660618. The cubic root of 20418024 is about 273.3198896157.

Adding to 20418024 its reverse (42081402), we get a palindrome (62499426).

The spelling of 20418024 in words is "twenty million, four hundred eighteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 79 88 89 121 132 158 178 237 242 264 267 316 356 363 474 484 534 632 712 726 869 948 968 979 1068 1452 1738 1896 1958 2136 2607 2904 2937 3476 3916 5214 5874 6952 7031 7832 9559 10428 10769 11748 14062 19118 20856 21093 21538 23496 28124 28677 32307 38236 42186 43076 56248 57354 64614 76472 77341 84372 86152 114708 129228 154682 168744 229416 232023 258456 309364 464046 618728 850751 928092 1701502 1856184 2552253 3403004 5104506 6806008 10209012 20418024