Search a number
-
+
1087840 = 25513523
BaseRepresentation
bin100001001100101100000
32001021020101
410021211200
5234302330
635152144
712150355
oct4114540
92037211
101087840
11683346
12445654
132c11c0
1420462c
151674ca
hex109960

1087840 has 48 divisors (see below), whose sum is σ = 2773008. Its totient is φ = 400896.

The previous prime is 1087829. The next prime is 1087841. The reversal of 1087840 is 487801.

1087840 = 962 + 972 + ... + 1602.

It is a junction number, because it is equal to n+sod(n) for n = 1087799 and 1087808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087841) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1819 + ... + 2341.

It is an arithmetic number, because the mean of its divisors is an integer number (57771).

21087840 is an apocalyptic number.

1087840 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 1087840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386504).

1087840 is an abundant number, since it is smaller than the sum of its proper divisors (1685168).

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

1087840 is a wasteful number, since it uses less digits than its factorization.

1087840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 1087840 is about 1042.9956855136. The cubic root of 1087840 is about 102.8462216506.

The spelling of 1087840 in words is "one million, eighty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 523 1040 1046 2080 2092 2615 4184 5230 6799 8368 10460 13598 16736 20920 27196 33995 41840 54392 67990 83680 108784 135980 217568 271960 543920 1087840