Search a number
-
+
16105122 = 23311191427
BaseRepresentation
bin111101011011…
…111010100010
31010022020002000
4331123322202
513110330442
61333104430
7253614465
oct75337242
933266060
1016105122
119100020
125488116
13344b677
1421d32dc
151631d4c
hexf5bea2

16105122 has 64 divisors (see below), whose sum is σ = 41126400. Its totient is φ = 4620240.

The previous prime is 16105109. The next prime is 16105139. The reversal of 16105122 is 22150161.

16105122 is a `hidden beast` number, since 1 + 610 + 51 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 16105095 and 16105104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10573 + ... + 11999.

It is an arithmetic number, because the mean of its divisors is an integer number (642600).

Almost surely, 216105122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16105122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20563200).

16105122 is an abundant number, since it is smaller than the sum of its proper divisors (25021278).

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

16105122 is a wasteful number, since it uses less digits than its factorization.

16105122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 16105122 is about 4013.1187373413. The cubic root of 16105122 is about 252.5348617029.

Adding to 16105122 its reverse (22150161), we get a palindrome (38255283).

The spelling of 16105122 in words is "sixteen million, one hundred five thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1427 1881 2854 3762 4281 5643 8562 11286 12843 15697 25686 27113 31394 38529 47091 54226 77058 81339 94182 141273 162678 244017 282546 298243 423819 488034 596486 732051 847638 894729 1464102 1789458 2684187 5368374 8052561 16105122