Search a number
-
+
1916112 = 2431119191
BaseRepresentation
bin111010011110011010000
310121100102010
413103303100
5442303422
6105022520
722200222
oct7236320
93540363
101916112
111099670
12784a40
135211c3
1437c412
1527cb0c
hex1d3cd0

1916112 has 80 divisors (see below), whose sum is σ = 5713920. Its totient is φ = 547200.

The previous prime is 1916099. The next prime is 1916129. The reversal of 1916112 is 2116191.

1916112 is nontrivially palindromic in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9937 + ... + 10127.

It is an arithmetic number, because the mean of its divisors is an integer number (71424).

21916112 is an apocalyptic number.

1916112 is a gapful number since it is divisible by the number (12) 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 1916112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856960).

1916112 is an abundant number, since it is smaller than the sum of its proper divisors (3797808).

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

1916112 is a wasteful number, since it uses less digits than its factorization.

1916112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 226 counting only the distinct ones).

The product of its digits is 108, while the sum is 21.

The square root of 1916112 is about 1384.2369739318. The cubic root of 1916112 is about 124.2053482674.

The spelling of 1916112 in words is "one million, nine hundred sixteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 191 209 228 264 304 382 418 456 528 573 627 764 836 912 1146 1254 1528 1672 2101 2292 2508 3056 3344 3629 4202 4584 5016 6303 7258 8404 9168 10032 10887 12606 14516 16808 21774 25212 29032 33616 39919 43548 50424 58064 79838 87096 100848 119757 159676 174192 239514 319352 479028 638704 958056 1916112