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20744064 = 2732111637
BaseRepresentation
bin100111100100…
…0011110000000
31110000220111200
41033020132000
520302302224
62020341200
7341215215
oct117103600
943026450
1020744064
1110789360
126b44800
1343b3cc3
142a7db0c
151c4b5c9
hex13c8780

20744064 has 96 divisors (see below), whose sum is σ = 65159640. Its totient is φ = 6282240.

The previous prime is 20744051. The next prime is 20744081. The reversal of 20744064 is 46044702.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11854 + ... + 13490.

Almost surely, 220744064 is an apocalyptic number.

20744064 is a gapful number since it is divisible by the number (24) 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 20744064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32579820).

20744064 is an abundant number, since it is smaller than the sum of its proper divisors (44415576).

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

20744064 is a wasteful number, since it uses less digits than its factorization.

20744064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 20744064 is about 4554.5651823198. The cubic root of 20744064 is about 274.7670269292.

Adding to 20744064 its reverse (46044702), we get a palindrome (66788766).

The spelling of 20744064 in words is "twenty million, seven hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 1637 2112 3168 3274 4224 4911 6336 6548 9822 12672 13096 14733 18007 19644 26192 29466 36014 39288 52384 54021 58932 72028 78576 104768 108042 117864 144056 157152 162063 209536 216084 235728 288112 314304 324126 432168 471456 576224 628608 648252 864336 942912 1152448 1296504 1728672 1885824 2304896 2593008 3457344 5186016 6914688 10372032 20744064