Search a number
-
+
1840896 = 28321747
BaseRepresentation
bin111000001011100000000
310110112020100
413001130000
5432402041
6103242400
721435021
oct7013400
93415210
101840896
111048102
12749400
134c5bb5
1435cc48
152656b6
hex1c1700

1840896 has 108 divisors (see below), whose sum is σ = 5739552. Its totient is φ = 565248.

The previous prime is 1840877. The next prime is 1840921. The reversal of 1840896 is 6980481.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1840896.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39145 + ... + 39191.

It is an arithmetic number, because the mean of its divisors is an integer number (53144).

21840896 is an apocalyptic number.

1840896 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 1840896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2869776).

1840896 is an abundant number, since it is smaller than the sum of its proper divisors (3898656).

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

1840896 is a wasteful number, since it uses less digits than its factorization.

1840896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1840896 is about 1356.7962264098. The cubic root of 1840896 is about 122.5584005863.

The spelling of 1840896 in words is "one million, eight hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 47 48 51 64 68 72 94 96 102 128 136 141 144 153 188 192 204 256 272 282 288 306 376 384 408 423 544 564 576 612 752 768 799 816 846 1088 1128 1152 1224 1504 1598 1632 1692 2176 2256 2304 2397 2448 3008 3196 3264 3384 4352 4512 4794 4896 6016 6392 6528 6768 7191 9024 9588 9792 12032 12784 13056 13536 14382 18048 19176 19584 25568 27072 28764 36096 38352 39168 51136 54144 57528 76704 102272 108288 115056 153408 204544 230112 306816 460224 613632 920448 1840896