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20905542 = 2327831999
BaseRepresentation
bin100111110111…
…1111001000110
31110100010000100
41033233321012
520322434132
62024024530
7342460050
oct117577106
943303010
1020905542
1110889709
127002146
13443c658
142ac28d0
151c7e37c
hex13efe46

20905542 has 48 divisors (see below), whose sum is σ = 52416000. Its totient is φ = 5898096.

The previous prime is 20905519. The next prime is 20905559. The reversal of 20905542 is 24550902.

20905542 is a `hidden beast` number, since 20 + 90 + 554 + 2 = 666.

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, 9459 + ... + 11457.

It is an arithmetic number, because the mean of its divisors is an integer number (1092000).

Almost surely, 220905542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20905542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26208000).

20905542 is an abundant number, since it is smaller than the sum of its proper divisors (31510458).

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

20905542 is a wasteful number, since it uses less digits than its factorization.

20905542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 20905542 is about 4572.2578667437. The cubic root of 20905542 is about 275.4781411792.

The spelling of 20905542 in words is "twenty million, nine hundred five thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 83 126 166 249 498 581 747 1162 1494 1743 1999 3486 3998 5229 5997 10458 11994 13993 17991 27986 35982 41979 83958 125937 165917 251874 331834 497751 995502 1161419 1493253 2322838 2986506 3484257 6968514 10452771 20905542