Search a number
-
+
16113006 = 2347131093
BaseRepresentation
bin111101011101…
…110101101110
31010022121220000
4331131311232
513111104011
61333205130
7253646460
oct75356556
933277800
1016113006
119105a38
1254907a6
133452130
1421d6130
151634356
hexf5dd6e

16113006 has 80 divisors (see below), whose sum is σ = 44477664. Its totient is φ = 4245696.

The previous prime is 16113001. The next prime is 16113017. The reversal of 16113006 is 60031161.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16113006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16113001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14196 + ... + 15288.

Almost surely, 216113006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16113006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22238832).

16113006 is an abundant number, since it is smaller than the sum of its proper divisors (28364658).

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

16113006 is a wasteful number, since it uses less digits than its factorization.

16113006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 16113006 is about 4014.1008955929. The cubic root of 16113006 is about 252.5760630891.

Adding to 16113006 its reverse (60031161), we get a palindrome (76144167).

The spelling of 16113006 in words is "sixteen million, one hundred thirteen thousand, six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 81 91 117 126 162 182 189 234 273 351 378 546 567 702 819 1053 1093 1134 1638 2106 2186 2457 3279 4914 6558 7371 7651 9837 14209 14742 15302 19674 22953 28418 29511 42627 45906 59022 68859 85254 88533 99463 127881 137718 177066 198926 206577 255762 298389 383643 413154 596778 619731 767286 895167 1150929 1239462 1790334 2301858 2685501 5371002 8056503 16113006