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20545416 = 2332674259
BaseRepresentation
bin100111001011…
…1111110001000
31102122211000100
41032113332020
520224423131
62012205400
7336430113
oct116277610
942584010
1020545416
1110663091
126a69860
134344768
142a2b57a
151c0c7e6
hex1397f88

20545416 has 48 divisors (see below), whose sum is σ = 56487600. Its totient is φ = 6744672.

The previous prime is 20545411. The next prime is 20545423. The reversal of 20545416 is 61454502.

20545416 is a `hidden beast` number, since 205 + 45 + 416 = 666.

It is a super-2 number, since 2×205454162 = 844228237226112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20545416.

It is not an unprimeable number, because it can be changed into a prime (20545411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2695 + ... + 6953.

It is an arithmetic number, because the mean of its divisors is an integer number (1176825).

Almost surely, 220545416 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 20545416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28243800).

20545416 is an abundant number, since it is smaller than the sum of its proper divisors (35942184).

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

20545416 is a wasteful number, since it uses less digits than its factorization.

20545416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4338 (or 4331 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 20545416 is about 4532.7051525551. The cubic root of 20545416 is about 273.8871433922.

Adding to 20545416 its reverse (61454502), we get a palindrome (81999918).

The spelling of 20545416 in words is "twenty million, five hundred forty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 67 72 134 201 268 402 536 603 804 1206 1608 2412 4259 4824 8518 12777 17036 25554 34072 38331 51108 76662 102216 153324 285353 306648 570706 856059 1141412 1712118 2282824 2568177 3424236 5136354 6848472 10272708 20545416