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20785248 = 2531011
BaseRepresentation
bin100111101001…
…0100001100000
31110010000000000
41033102201200
520310111443
62021300000
7341446251
oct117224140
943100000
1020785248
11108072a0
126b64600
1343c9983
142a90b28
151c588d3
hex13d2860

20785248 has 132 divisors (see below), whose sum is σ = 66961188. Its totient is φ = 6298560.

The previous prime is 20785241. The next prime is 20785253. The reversal of 20785248 is 84258702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (132).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20785241) by changing a digit.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 1889563 + ... + 1889573.

Almost surely, 220785248 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 20785248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33480594).

20785248 is an abundant number, since it is smaller than the sum of its proper divisors (46175940).

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

20785248 is an frugal number, since it uses more digits than its factorization.

20785248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 20785248 is about 4559.0841185484. The cubic root of 20785248 is about 274.9487419616.

The spelling of 20785248 in words is "twenty million, seven hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 243 264 288 297 324 352 396 432 486 528 594 648 729 792 864 891 972 1056 1188 1296 1458 1584 1782 1944 2187 2376 2592 2673 2916 3168 3564 3888 4374 4752 5346 5832 6561 7128 7776 8019 8748 9504 10692 11664 13122 14256 16038 17496 19683 21384 23328 24057 26244 28512 32076 34992 39366 42768 48114 52488 59049 64152 69984 72171 78732 85536 96228 104976 118098 128304 144342 157464 192456 209952 216513 236196 256608 288684 314928 384912 433026 472392 577368 629856 649539 769824 866052 944784 1154736 1299078 1732104 1889568 2309472 2598156 3464208 5196312 6928416 10392624 20785248