Search a number
-
+
16163928 = 2333116803
BaseRepresentation
bin111101101010…
…010001011000
31010102012202000
4331222101120
513114221203
61334241000
7254251104
oct75522130
933365660
1016163928
119140220
1254b6160
13346c371
14220a904
1516444a3
hexf6a458

16163928 has 64 divisors (see below), whose sum is σ = 48988800. Its totient is φ = 4897440.

The previous prime is 16163921. The next prime is 16163929. The reversal of 16163928 is 82936161.

16163928 is a `hidden beast` number, since 1 + 616 + 39 + 2 + 8 = 666.

16163928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×161639282 = 522545136778368, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 16163892 and 16163901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16163921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1026 + ... + 5777.

It is an arithmetic number, because the mean of its divisors is an integer number (765450).

Almost surely, 216163928 is an apocalyptic number.

16163928 is a gapful number since it is divisible by the number (18) 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 16163928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24494400).

16163928 is an abundant number, since it is smaller than the sum of its proper divisors (32824872).

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

16163928 is a wasteful number, since it uses less digits than its factorization.

16163928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6829 (or 6819 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 16163928 is about 4020.4387820237. The cubic root of 16163928 is about 252.8418556851.

The spelling of 16163928 in words is "sixteen million, one hundred sixty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 6803 13606 20409 27212 40818 54424 61227 74833 81636 122454 149666 163272 183681 224499 244908 299332 367362 448998 489816 598664 673497 734724 897996 1346994 1469448 1795992 2020491 2693988 4040982 5387976 8081964 16163928