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20867328 = 28333019
BaseRepresentation
bin100111110011…
…0100100000000
31110021011121000
41033212210000
520320223303
62023132000
7342240456
oct117464400
943234530
1020867328
1110862a29
126ba4000
134428141
142ab29d6
151c72da3
hex13e6900

20867328 has 72 divisors (see below), whose sum is σ = 61728800. Its totient is φ = 6953472.

The previous prime is 20867317. The next prime is 20867333. The reversal of 20867328 is 82376802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 20867292 and 20867301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5403 + ... + 8421.

Almost surely, 220867328 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 20867328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30864400).

20867328 is an abundant number, since it is smaller than the sum of its proper divisors (40861472).

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

20867328 is an equidigital number, since it uses as much as digits as its factorization.

20867328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3044 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 20867328 is about 4568.0770571434. The cubic root of 20867328 is about 275.3101866321.

The spelling of 20867328 in words is "twenty million, eight hundred sixty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3019 3456 6038 6912 9057 12076 18114 24152 27171 36228 48304 54342 72456 81513 96608 108684 144912 163026 193216 217368 289824 326052 386432 434736 579648 652104 772864 869472 1159296 1304208 1738944 2318592 2608416 3477888 5216832 6955776 10433664 20867328