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16404128 = 251347839
BaseRepresentation
bin111110100100…
…111010100000
31010212102020022
4332210322200
513144413003
61343333012
7256301306
oct76447240
933772208
1016404128
119294734
1255b1168
1335247b0
142270276
151690738
hexfa4ea0

16404128 has 48 divisors (see below), whose sum is σ = 35562240. Its totient is φ = 7401216.

The previous prime is 16404127. The next prime is 16404137. The reversal of 16404128 is 82140461.

16404128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 16404097 and 16404106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16404127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19133 + ... + 19971.

It is an arithmetic number, because the mean of its divisors is an integer number (740880).

Almost surely, 216404128 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 16404128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17781120).

16404128 is an abundant number, since it is smaller than the sum of its proper divisors (19158112).

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

16404128 is a wasteful number, since it uses less digits than its factorization.

16404128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 16404128 is about 4050.2009826674. The cubic root of 16404128 is about 254.0881335920.

Adding to 16404128 its reverse (82140461), we get a palindrome (98544589).

The spelling of 16404128 in words is "sixteen million, four hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 188 208 376 416 611 752 839 1222 1504 1678 2444 3356 4888 6712 9776 10907 13424 19552 21814 26848 39433 43628 78866 87256 157732 174512 315464 349024 512629 630928 1025258 1261856 2050516 4101032 8202064 16404128