Search a number
-
+
16110920 = 2357163353
BaseRepresentation
bin111101011101…
…010101001000
31010022112000202
4331131111020
513111022140
61333151332
7253640420
oct75352510
933275022
1016110920
119104411
12548b548
1334511b7
1421d5480
151633915
hexf5d548

16110920 has 64 divisors (see below), whose sum is σ = 41800320. Its totient is φ = 5474304.

The previous prime is 16110901. The next prime is 16110929. The reversal of 16110920 is 2901161.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 16110892 and 16110901.

It is not an unprimeable number, because it can be changed into a prime (16110929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45464 + ... + 45816.

It is an arithmetic number, because the mean of its divisors is an integer number (653130).

Almost surely, 216110920 is an apocalyptic number.

16110920 is a gapful number since it is divisible by the number (10) 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 16110920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20900160).

16110920 is an abundant number, since it is smaller than the sum of its proper divisors (25689400).

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

16110920 is a wasteful number, since it uses less digits than its factorization.

16110920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 16110920 is about 4013.8410531559. The cubic root of 16110920 is about 252.5651630661.

The spelling of 16110920 in words is "sixteen million, one hundred ten thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 163 280 326 353 652 706 815 1141 1304 1412 1630 1765 2282 2471 2824 3260 3530 4564 4942 5705 6520 7060 9128 9884 11410 12355 14120 19768 22820 24710 45640 49420 57539 98840 115078 230156 287695 402773 460312 575390 805546 1150780 1611092 2013865 2301560 3222184 4027730 8055460 16110920