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20414592 = 273411179
BaseRepresentation
bin100110111100…
…0000010000000
31102102011120000
41031320002000
520211231332
62005320000
7335343522
oct115700200
942364500
1020414592
1110583870
126a06000
1342ca053
1429d5a12
151bd3b7c
hex1378080

20414592 has 160 divisors (see below), whose sum is σ = 66646800. Its totient is φ = 6151680.

The previous prime is 20414573. The next prime is 20414621. The reversal of 20414592 is 29541402.

20414592 is a `hidden beast` number, since 204 + 1 + 459 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 113959 + ... + 114137.

Almost surely, 220414592 is an apocalyptic number.

20414592 is a gapful number since it is divisible by the number (22) 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 20414592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33323400).

20414592 is an abundant number, since it is smaller than the sum of its proper divisors (46232208).

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

20414592 is a wasteful number, since it uses less digits than its factorization.

20414592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 20414592 is about 4518.2509890443. The cubic root of 20414592 is about 273.3045749372.

Adding to 20414592 its reverse (29541402), we get a palindrome (49955994).

The spelling of 20414592 in words is "twenty million, four hundred fourteen thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 179 192 198 216 264 288 297 324 352 358 384 396 432 528 537 576 594 648 704 716 792 864 891 1056 1074 1152 1188 1296 1408 1432 1584 1611 1728 1782 1969 2112 2148 2376 2592 2864 3168 3222 3456 3564 3938 4224 4296 4752 4833 5184 5728 5907 6336 6444 7128 7876 8592 9504 9666 10368 11456 11814 12672 12888 14256 14499 15752 17184 17721 19008 19332 22912 23628 25776 28512 28998 31504 34368 35442 38016 38664 47256 51552 53163 57024 57996 63008 68736 70884 77328 94512 103104 106326 114048 115992 126016 141768 154656 159489 189024 206208 212652 231984 252032 283536 309312 318978 378048 425304 463968 567072 618624 637956 756096 850608 927936 1134144 1275912 1701216 1855872 2268288 2551824 3402432 5103648 6804864 10207296 20414592