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20545616 = 24713103137
BaseRepresentation
bin100111001100…
…0000001010000
31102122211021202
41032120001100
520224424431
62012210332
7336430520
oct116300120
942584252
1020545616
1110663253
126a699a8
134344890
142a2b680
151c0c8cb
hex1398050

20545616 has 80 divisors (see below), whose sum is σ = 49830144. Its totient is φ = 7990272.

The previous prime is 20545607. The next prime is 20545663. The reversal of 20545616 is 61654502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149900 + ... + 150036.

Almost surely, 220545616 is an apocalyptic number.

20545616 is a gapful number since it is divisible by the number (26) 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 20545616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24915072).

20545616 is an abundant number, since it is smaller than the sum of its proper divisors (29284528).

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

20545616 is a wasteful number, since it uses less digits than its factorization.

20545616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 20545616 is about 4532.7272143821. The cubic root of 20545616 is about 273.8880321103. Note that the first 3 decimals are identical.

The spelling of 20545616 in words is "twenty million, five hundred forty-five thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 103 104 112 137 182 206 208 274 364 412 548 721 728 824 959 1096 1339 1442 1456 1648 1781 1918 2192 2678 2884 3562 3836 5356 5768 7124 7672 9373 10712 11536 12467 14111 14248 15344 18746 21424 24934 28222 28496 37492 49868 56444 74984 98777 99736 112888 149968 183443 197554 199472 225776 366886 395108 733772 790216 1284101 1467544 1580432 2568202 2935088 5136404 10272808 20545616