Search a number
-
+
1914912 = 253261109
BaseRepresentation
bin111010011100000100000
310121021202200
413103200200
5442234122
6105013200
722163556
oct7234040
93537680
101914912
11109877a
12784200
135207ac
1437bbd6
1527c5ac
hex1d3820

1914912 has 72 divisors (see below), whose sum is σ = 5585580. Its totient is φ = 622080.

The previous prime is 1914889. The next prime is 1914923. The reversal of 1914912 is 2194191.

It can be written as a sum of positive squares in 2 ways, for example, as 1838736 + 76176 = 1356^2 + 276^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17514 + ... + 17622.

21914912 is an apocalyptic number.

1914912 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 1914912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792790).

1914912 is an abundant number, since it is smaller than the sum of its proper divisors (3670668).

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

1914912 is a wasteful number, since it uses less digits than its factorization.

1914912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 175 counting only the distinct ones).

The product of its digits is 648, while the sum is 27.

The square root of 1914912 is about 1383.8034542521. The cubic root of 1914912 is about 124.1794142331.

The spelling of 1914912 in words is "one million, nine hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 96 109 122 144 183 218 244 288 327 366 436 488 549 654 732 872 976 981 1098 1308 1464 1744 1952 1962 2196 2616 2928 3488 3924 4392 5232 5856 6649 7848 8784 10464 13298 15696 17568 19947 26596 31392 39894 53192 59841 79788 106384 119682 159576 212768 239364 319152 478728 638304 957456 1914912