Search a number
-
+
1896816 = 24343919
BaseRepresentation
bin111001111000101110000
310120100221110
413033011300
5441144231
6104353320
722060035
oct7170560
93510843
101896816
111086119
12775840
1351549c
1437538c
15277046
hex1cf170

1896816 has 40 divisors (see below), whose sum is σ = 5019520. Its totient is φ = 616896.

The previous prime is 1896781. The next prime is 1896823. The reversal of 1896816 is 6186981.

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 7 ways as a sum of consecutive naturals, for example, 1605 + ... + 2523.

It is an arithmetic number, because the mean of its divisors is an integer number (125488).

21896816 is an apocalyptic number.

1896816 is a gapful number since it is divisible by the number (16) 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 1896816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509760).

1896816 is an abundant number, since it is smaller than the sum of its proper divisors (3122704).

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

1896816 is a wasteful number, since it uses less digits than its factorization.

1896816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 967 counting only the distinct ones).

The product of its digits is 20736, while the sum is 39.

The square root of 1896816 is about 1377.2494327463. The cubic root of 1896816 is about 123.7870086230.

The spelling of 1896816 in words is "one million, eight hundred ninety-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 919 1032 1838 2064 2757 3676 5514 7352 11028 14704 22056 39517 44112 79034 118551 158068 237102 316136 474204 632272 948408 1896816