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20748288 = 211311307
BaseRepresentation
bin100111100100…
…1100000000000
31110001010022010
41033021200000
520302421123
62020412520
7341233431
oct117114000
943033263
1020748288
1110791550
126b47140
1343b5bc2
142a81488
151c4c993
hex13c9800

20748288 has 96 divisors (see below), whose sum is σ = 60540480. Its totient is φ = 6266880.

The previous prime is 20748271. The next prime is 20748319. The reversal of 20748288 is 88284702.

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 7 ways as a sum of consecutive naturals, for example, 67431 + ... + 67737.

It is an arithmetic number, because the mean of its divisors is an integer number (630630).

Almost surely, 220748288 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 20748288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30270240).

20748288 is an abundant number, since it is smaller than the sum of its proper divisors (39792192).

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

20748288 is a wasteful number, since it uses less digits than its factorization.

20748288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 20748288 is about 4555.0288692828. The cubic root of 20748288 is about 274.7856754312.

The spelling of 20748288 in words is "twenty million, seven hundred forty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 307 352 384 512 528 614 704 768 921 1024 1056 1228 1408 1536 1842 2048 2112 2456 2816 3072 3377 3684 4224 4912 5632 6144 6754 7368 8448 9824 10131 11264 13508 14736 16896 19648 20262 22528 27016 29472 33792 39296 40524 54032 58944 67584 78592 81048 108064 117888 157184 162096 216128 235776 314368 324192 432256 471552 628736 648384 864512 943104 1296768 1729024 1886208 2593536 3458048 5187072 6916096 10374144 20748288