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20896640 = 275103317
BaseRepresentation
bin100111110110…
…1101110000000
31110022122210122
41033231232000
520322143030
62023515412
7342422102
oct117555600
943278718
1020896640
1110882a56
126bb8b68
13443859b
142abd572
151c7b8e5
hex13edb80

20896640 has 64 divisors (see below), whose sum is σ = 50600160. Its totient is φ = 8251392.

The previous prime is 20896609. The next prime is 20896643. The reversal of 20896640 is 4669802.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 20896640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20896643) 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 7 ways as a sum of consecutive naturals, for example, 65762 + ... + 66078.

Almost surely, 220896640 is an apocalyptic number.

20896640 is a gapful number since it is divisible by the number (20) 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 20896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25300080).

20896640 is an abundant number, since it is smaller than the sum of its proper divisors (29703520).

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

20896640 is a wasteful number, since it uses less digits than its factorization.

20896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 20896640 is about 4571.2842834372. The cubic root of 20896640 is about 275.4390342512.

The spelling of 20896640 in words is "twenty million, eight hundred ninety-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 128 160 206 317 320 412 515 634 640 824 1030 1268 1585 1648 2060 2536 3170 3296 4120 5072 6340 6592 8240 10144 12680 13184 16480 20288 25360 32651 32960 40576 50720 65302 65920 101440 130604 163255 202880 261208 326510 522416 653020 1044832 1306040 2089664 2612080 4179328 5224160 10448320 20896640