Search a number
-
+
16120832 = 210713173
BaseRepresentation
bin111101011111…
…110000000000
31010100000121212
4331133300000
513111331312
61333305252
7254011340
oct75376000
933300555
1016120832
119110902
125495228
133455870
1421d8d20
151636822
hexf5fc00

16120832 has 88 divisors (see below), whose sum is σ = 39891936. Its totient is φ = 6340608.

The previous prime is 16120823. The next prime is 16120883. The reversal of 16120832 is 23802161.

16120832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 4 and base 9.

It is a junction number, because it is equal to n+sod(n) for n = 16120798 and 16120807.

It is a congruent number.

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, 93098 + ... + 93270.

Almost surely, 216120832 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 16120832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19945968).

16120832 is an abundant number, since it is smaller than the sum of its proper divisors (23771104).

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

16120832 is a wasteful number, since it uses less digits than its factorization.

16120832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 16120832 is about 4015.0755908202. The cubic root of 16120832 is about 252.6169480806.

Adding to 16120832 its reverse (23802161), we get a palindrome (39922993).

The spelling of 16120832 in words is "sixteen million, one hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 173 182 208 224 256 346 364 416 448 512 692 728 832 896 1024 1211 1384 1456 1664 1792 2249 2422 2768 2912 3328 3584 4498 4844 5536 5824 6656 7168 8996 9688 11072 11648 13312 15743 17992 19376 22144 23296 31486 35984 38752 44288 46592 62972 71968 77504 88576 93184 125944 143936 155008 177152 251888 287872 310016 503776 575744 620032 1007552 1151488 1240064 2015104 2302976 4030208 8060416 16120832