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20752896 = 29359229
BaseRepresentation
bin100111100101…
…0101000000000
31110001100121210
41033022220000
520303043041
62020450120
7341253033
oct117125000
943040553
1020752896
1110794a5a
126b49940
1343b8028
142a8301a
151c4e016
hex13caa00

20752896 has 80 divisors (see below), whose sum is σ = 56469600. Its totient is φ = 6770688.

The previous prime is 20752891. The next prime is 20752933. The reversal of 20752896 is 69825702.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20752891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90510 + ... + 90738.

It is an arithmetic number, because the mean of its divisors is an integer number (705870).

Almost surely, 220752896 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 20752896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28234800).

20752896 is an abundant number, since it is smaller than the sum of its proper divisors (35716704).

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

20752896 is an equidigital number, since it uses as much as digits as its factorization.

20752896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 20752896 is about 4555.5346557786. The cubic root of 20752896 is about 274.8060163651.

The spelling of 20752896 in words is "twenty million, seven hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 229 236 256 354 384 458 472 512 687 708 768 916 944 1374 1416 1536 1832 1888 2748 2832 3664 3776 5496 5664 7328 7552 10992 11328 13511 14656 15104 21984 22656 27022 29312 30208 40533 43968 45312 54044 58624 81066 87936 90624 108088 117248 162132 175872 216176 324264 351744 432352 648528 864704 1297056 1729408 2594112 3458816 5188224 6917632 10376448 20752896