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20653056 = 2103583
BaseRepresentation
bin100111011001…
…0010000000000
31102212021200000
41032302100000
520241344211
62014400000
7340355664
oct116622000
942767600
1020653056
1110726a46
126b00000
134381758
142a588a4
151c2e656
hex13b2400

20653056 has 132 divisors (see below), whose sum is σ = 62589072. Its totient is φ = 6801408.

The previous prime is 20653007. The next prime is 20653063. The reversal of 20653056 is 65035602.

20653056 is a `hidden beast` number, since 2 + 0 + 653 + 0 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 8.

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, 248791 + ... + 248873.

Almost surely, 220653056 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 20653056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31294536).

20653056 is an abundant number, since it is smaller than the sum of its proper divisors (41936016).

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

20653056 is an frugal number, since it uses more digits than its factorization.

20653056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 20653056 is about 4544.5633453611. The cubic root of 20653056 is about 274.3646201555.

Adding to 20653056 its reverse (65035602), we get a palindrome (85688658).

The spelling of 20653056 in words is "twenty million, six hundred fifty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 83 96 108 128 144 162 166 192 216 243 249 256 288 324 332 384 432 486 498 512 576 648 664 747 768 864 972 996 1024 1152 1296 1328 1494 1536 1728 1944 1992 2241 2304 2592 2656 2988 3072 3456 3888 3984 4482 4608 5184 5312 5976 6723 6912 7776 7968 8964 9216 10368 10624 11952 13446 13824 15552 15936 17928 20169 20736 21248 23904 26892 27648 31104 31872 35856 40338 41472 42496 47808 53784 62208 63744 71712 80676 82944 84992 95616 107568 124416 127488 143424 161352 191232 215136 248832 254976 286848 322704 382464 430272 573696 645408 764928 860544 1147392 1290816 1721088 2294784 2581632 3442176 5163264 6884352 10326528 20653056