Search a number
-
+
16122132 = 22331311483
BaseRepresentation
bin111101100000…
…000100010100
31010100002102000
4331200010110
513111402012
61333315300
7254015205
oct75400424
933302360
1016122132
119111884
125495b30
133456330
1421d95ac
151636ddc
hexf60114

16122132 has 48 divisors (see below), whose sum is σ = 45017280. Its totient is φ = 4960224.

The previous prime is 16122131. The next prime is 16122133. The reversal of 16122132 is 23122161.

16122132 is a `hidden beast` number, since 1 + 612 + 21 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (16122131) and next prime (16122133).

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16122131) 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, 4338 + ... + 7145.

It is an arithmetic number, because the mean of its divisors is an integer number (937860).

Almost surely, 216122132 is an apocalyptic number.

16122132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16122132 is an abundant number, since it is smaller than the sum of its proper divisors (28895148).

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

16122132 is a wasteful number, since it uses less digits than its factorization.

16122132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11509 (or 11501 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 16122132 is about 4015.2374774103. The cubic root of 16122132 is about 252.6237383257.

Adding to 16122132 its reverse (23122161), we get a palindrome (39244293).

The spelling of 16122132 in words is "sixteen million, one hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 11483 22966 34449 45932 68898 103347 137796 149279 206694 298558 310041 413388 447837 597116 620082 895674 1240164 1343511 1791348 2687022 4030533 5374044 8061066 16122132