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20577414 = 23111329827
BaseRepresentation
bin100111001111…
…1110010000110
31102201102220110
41032133302012
520231434124
62013013450
7336622314
oct116376206
942642813
1020577414
1110685130
126a84286
1343561b0
142a390b4
151c17029
hex139fc86

20577414 has 64 divisors (see below), whose sum is σ = 50077440. Its totient is φ = 5550720.

The previous prime is 20577379. The next prime is 20577419. The reversal of 20577414 is 41477502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20577419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24469 + ... + 25295.

It is an arithmetic number, because the mean of its divisors is an integer number (782460).

Almost surely, 220577414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20577414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25038720).

20577414 is an abundant number, since it is smaller than the sum of its proper divisors (29500026).

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

20577414 is a wasteful number, since it uses less digits than its factorization.

20577414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885.

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 20577414 is about 4536.2334596006. The cubic root of 20577414 is about 274.0292561156.

The spelling of 20577414 in words is "twenty million, five hundred seventy-seven thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 29 33 39 58 66 78 87 143 174 286 319 377 429 638 754 827 858 957 1131 1654 1914 2262 2481 4147 4962 8294 9097 10751 12441 18194 21502 23983 24882 27291 32253 47966 54582 64506 71949 118261 143898 236522 263813 311779 354783 527626 623558 709566 791439 935337 1582878 1870674 3429569 6859138 10288707 20577414