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20329360 = 2451631559
BaseRepresentation
bin100110110001…
…1001110010000
31102020211122021
41031203032100
520201014420
62003421224
7334540162
oct115431620
942224567
1020329360
1110525827
126984814
13429a30c
1429b2932
151bb87aa
hex1363390

20329360 has 40 divisors (see below), whose sum is σ = 47586240. Its totient is φ = 8076672.

The previous prime is 20329339. The next prime is 20329363. The reversal of 20329360 is 6392302.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (20329363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12261 + ... + 13819.

It is an arithmetic number, because the mean of its divisors is an integer number (1189656).

Almost surely, 220329360 is an apocalyptic number.

20329360 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 20329360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23793120).

20329360 is an abundant number, since it is smaller than the sum of its proper divisors (27256880).

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

20329360 is a wasteful number, since it uses less digits than its factorization.

20329360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 20329360 is about 4508.8091554201. The cubic root of 20329360 is about 272.9236906945.

The spelling of 20329360 in words is "twenty million, three hundred twenty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 163 326 652 815 1304 1559 1630 2608 3118 3260 6236 6520 7795 12472 13040 15590 24944 31180 62360 124720 254117 508234 1016468 1270585 2032936 2541170 4065872 5082340 10164680 20329360