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20957616 = 2434103157
BaseRepresentation
bin100111111110…
…0100110110000
31110102202110000
41033330212300
520331120431
62025110000
7343064631
oct117744660
943382400
1020957616
1110914849
127028300
13445a274
142ad7888
151c8e9e6
hex13fc9b0

20957616 has 100 divisors (see below), whose sum is σ = 61636432. Its totient is φ = 6873984.

The previous prime is 20957611. The next prime is 20957621. The reversal of 20957616 is 61675902.

It is an interprime number because it is at equal distance from previous prime (20957611) and next prime (20957621).

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

It is not an unprimeable number, because it can be changed into a prime (20957611) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 133410 + ... + 133566.

Almost surely, 220957616 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 20957616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30818216).

20957616 is an abundant number, since it is smaller than the sum of its proper divisors (40678816).

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

20957616 is a wasteful number, since it uses less digits than its factorization.

20957616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 20957616 is about 4577.9488856911. The cubic root of 20957616 is about 275.7066827182.

The spelling of 20957616 in words is "twenty million, nine hundred fifty-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 103 108 144 157 162 206 216 309 314 324 412 432 471 618 628 648 824 927 942 1236 1256 1296 1413 1648 1854 1884 2472 2512 2781 2826 3708 3768 4239 4944 5562 5652 7416 7536 8343 8478 11124 11304 12717 14832 16171 16686 16956 22248 22608 25434 32342 33372 33912 44496 48513 50868 64684 66744 67824 97026 101736 129368 133488 145539 194052 203472 258736 291078 388104 436617 582156 776208 873234 1164312 1309851 1746468 2328624 2619702 3492936 5239404 6985872 10478808 20957616