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20411832 = 23372171021
BaseRepresentation
bin100110111011…
…1010110111000
31102102000202210
41031313112320
520211134312
62005255120
7335332500
oct115672670
942360683
1020411832
1110581791
126a044a0
1342c8a0c
1429d4a00
151bd2e3c
hex13775b8

20411832 has 96 divisors (see below), whose sum is σ = 62914320. Its totient is φ = 5483520.

The previous prime is 20411801. The next prime is 20411843. The reversal of 20411832 is 23811402.

It is a super-3 number, since 3×204118323 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20411799 and 20411808.

It is a congruent number.

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, 19482 + ... + 20502.

Almost surely, 220411832 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 20411832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31457160).

20411832 is an abundant number, since it is smaller than the sum of its proper divisors (42502488).

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

20411832 is a wasteful number, since it uses less digits than its factorization.

20411832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 20411832 is about 4517.9455508007. The cubic root of 20411832 is about 273.2922576917.

The spelling of 20411832 in words is "twenty million, four hundred eleven thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 357 392 408 476 588 714 833 952 1021 1176 1428 1666 2042 2499 2856 3063 3332 4084 4998 6126 6664 7147 8168 9996 12252 14294 17357 19992 21441 24504 28588 34714 42882 50029 52071 57176 69428 85764 100058 104142 121499 138856 150087 171528 200116 208284 242998 300174 364497 400232 416568 485996 600348 728994 850493 971992 1200696 1457988 1700986 2551479 2915976 3401972 5102958 6803944 10205916 20411832