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20963016 = 2333374361
BaseRepresentation
bin100111111110…
…1111011001000
31110110000212000
41033331323020
520331304031
62025151000
7343116444
oct117757310
943400760
1020963016
1110918908
12702b460
13445c869
142ad9824
151c913e6
hex13fdec8

20963016 has 128 divisors (see below), whose sum is σ = 62198400. Its totient is φ = 6531840.

The previous prime is 20963011. The next prime is 20963017. The reversal of 20963016 is 61036902.

It is a happy number.

20963016 is a `hidden beast` number, since 20 + 9 + 630 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20963011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 343626 + ... + 343686.

It is an arithmetic number, because the mean of its divisors is an integer number (485925).

Almost surely, 220963016 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 20963016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31099200).

20963016 is an abundant number, since it is smaller than the sum of its proper divisors (41235384).

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

20963016 is a wasteful number, since it uses less digits than its factorization.

20963016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 20963016 is about 4578.5386314849. The cubic root of 20963016 is about 275.7303604787.

Adding to 20963016 its reverse (61036902), we get a palindrome (81999918).

The spelling of 20963016 in words is "twenty million, nine hundred sixty-three thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 43 54 61 72 74 86 108 111 122 129 148 172 183 216 222 244 258 296 333 344 366 387 444 488 516 549 666 732 774 888 999 1032 1098 1161 1332 1464 1548 1591 1647 1998 2196 2257 2322 2623 2664 3096 3182 3294 3996 4392 4514 4644 4773 5246 6364 6588 6771 7869 7992 9028 9288 9546 10492 12728 13176 13542 14319 15738 18056 19092 20313 20984 23607 27084 28638 31476 38184 40626 42957 47214 54168 57276 60939 62952 70821 81252 85914 94428 97051 114552 121878 141642 162504 171828 188856 194102 243756 283284 291153 343656 388204 487512 566568 582306 776408 873459 1164612 1746918 2329224 2620377 3493836 5240754 6987672 10481508 20963016