Search a number
-
+
16385004 = 22371873
BaseRepresentation
bin111110100000…
…001111101100
31010211110000000
4332200033230
513143310004
61343104300
7256161456
oct76401754
933743000
1016385004
119281329
1255a2090
133518b8c
1422672d6
151689c39
hexfa03ec

16385004 has 48 divisors (see below), whose sum is σ = 43027040. Its totient is φ = 5458752.

The previous prime is 16384997. The next prime is 16385009. The reversal of 16385004 is 40058361.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (16385009) 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 15 ways as a sum of consecutive naturals, for example, 7812 + ... + 9684.

Almost surely, 216385004 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 16385004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21513520).

16385004 is an abundant number, since it is smaller than the sum of its proper divisors (26642036).

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

16385004 is an equidigital number, since it uses as much as digits as its factorization.

16385004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 16385004 is about 4047.8394236926. The cubic root of 16385004 is about 253.9893561994.

The spelling of 16385004 in words is "sixteen million, three hundred eighty-five thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1873 2187 2916 3746 4374 5619 7492 8748 11238 16857 22476 33714 50571 67428 101142 151713 202284 303426 455139 606852 910278 1365417 1820556 2730834 4096251 5461668 8192502 16385004