Search a number
-
+
16134144 = 212313101
BaseRepresentation
bin111101100011…
…000000000000
31010100200212220
4331203000000
513112243034
61333451040
7254065215
oct75430000
933320786
1016134144
11911a904
1254a0a80
13345b940
1421ddb0c
15163a749
hexf63000

16134144 has 104 divisors (see below), whose sum is σ = 46786992. Its totient is φ = 4915200.

The previous prime is 16134143. The next prime is 16134149. The reversal of 16134144 is 44143161.

It is a tau number, because it is divible by the number of its divisors (104).

It is a super-2 number, since 2×161341442 = 520621205225472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a nialpdrome in base 8 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16134143) 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, 159694 + ... + 159794.

Almost surely, 216134144 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 16134144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23393496).

16134144 is an abundant number, since it is smaller than the sum of its proper divisors (30652848).

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

16134144 is a wasteful number, since it uses less digits than its factorization.

16134144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 16134144 is about 4016.7330008354. The cubic root of 16134144 is about 252.6864629294.

The spelling of 16134144 in words is "sixteen million, one hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 101 104 128 156 192 202 208 256 303 312 384 404 416 512 606 624 768 808 832 1024 1212 1248 1313 1536 1616 1664 2048 2424 2496 2626 3072 3232 3328 3939 4096 4848 4992 5252 6144 6464 6656 7878 9696 9984 10504 12288 12928 13312 15756 19392 19968 21008 25856 26624 31512 38784 39936 42016 51712 53248 63024 77568 79872 84032 103424 126048 155136 159744 168064 206848 252096 310272 336128 413696 504192 620544 672256 1008384 1241088 1344512 2016768 2689024 4033536 5378048 8067072 16134144