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20658096 = 2432413499
BaseRepresentation
bin100111011001…
…1011110110000
31102212112120200
41032303132300
520242024341
62014435200
7340406454
oct116633660
942775520
1020658096
111072a808
126b02b00
134383b34
142a5a664
151c30db6
hex13b37b0

20658096 has 60 divisors (see below), whose sum is σ = 59241000. Its totient is φ = 6716160.

The previous prime is 20658061. The next prime is 20658097. The reversal of 20658096 is 69085602.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20658096.

It is not an unprimeable number, because it can be changed into a prime (20658097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4155 + ... + 7653.

It is an arithmetic number, because the mean of its divisors is an integer number (987350).

Almost surely, 220658096 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 20658096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29620500).

20658096 is an abundant number, since it is smaller than the sum of its proper divisors (38582904).

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

20658096 is a wasteful number, since it uses less digits than its factorization.

20658096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3554 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 20658096 is about 4545.1178202550. The cubic root of 20658096 is about 274.3869362269.

The spelling of 20658096 in words is "twenty million, six hundred fifty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 3499 5904 6998 10497 13996 20994 27992 31491 41988 55984 62982 83976 125964 143459 167952 251928 286918 430377 503856 573836 860754 1147672 1291131 1721508 2295344 2582262 3443016 5164524 6886032 10329048 20658096