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20925744 = 243733141
BaseRepresentation
bin100111111010…
…0110100110000
31110101010201120
41033310310300
520324110434
62024302240
7342603000
oct117646460
943333646
1020925744
11108a2904
127011980
1344488c8
142aca000
151c85349
hex13f4d30

20925744 has 160 divisors (see below), whose sum is σ = 66662400. Its totient is φ = 5644800.

The previous prime is 20925743. The next prime is 20925761. The reversal of 20925744 is 44752902.

It is not an unprimeable number, because it can be changed into a prime (20925743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510364 + ... + 510404.

It is an arithmetic number, because the mean of its divisors is an integer number (416640).

Almost surely, 220925744 is an apocalyptic number.

20925744 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 20925744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33331200).

20925744 is an abundant number, since it is smaller than the sum of its proper divisors (45736656).

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

20925744 is a wasteful number, since it uses less digits than its factorization.

20925744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 20925744 is about 4574.4665262739. The cubic root of 20925744 is about 275.5668484022.

The spelling of 20925744 in words is "twenty million, nine hundred twenty-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 41 42 48 49 56 62 82 84 93 98 112 123 124 147 164 168 186 196 217 246 248 287 294 328 336 343 372 392 434 492 496 574 588 651 656 686 744 784 861 868 984 1029 1148 1176 1271 1302 1372 1488 1519 1722 1736 1968 2009 2058 2296 2352 2542 2604 2744 3038 3444 3472 3813 4018 4116 4557 4592 5084 5208 5488 6027 6076 6888 7626 8036 8232 8897 9114 10168 10416 10633 12054 12152 13776 14063 15252 16072 16464 17794 18228 20336 21266 24108 24304 26691 28126 30504 31899 32144 35588 36456 42189 42532 48216 53382 56252 61008 62279 63798 71176 72912 84378 85064 96432 106764 112504 124558 127596 142352 168756 170128 186837 213528 225008 249116 255192 337512 373674 427056 435953 498232 510384 675024 747348 871906 996464 1307859 1494696 1743812 2615718 2989392 3487624 5231436 6975248 10462872 20925744