Search a number
-
+
1087483840 = 26516320849
BaseRepresentation
bin100000011010001…
…1010111111000000
32210210021220101021
41000310122333000
54211343440330
6255524315224
735643313552
oct10064327700
92723256337
101087483840
11508946783
12264242b14
131443baa81
14a46014d2
156571267a
hex40d1afc0

1087483840 has 56 divisors (see below), whose sum is σ = 2605582800. Its totient is φ = 432304128.

The previous prime is 1087483763. The next prime is 1087483841. The reversal of 1087483840 is 483847801.

It is a super-2 number, since 2×10874838402 = 2365242204522291200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1087483841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41736 + ... + 62584.

Almost surely, 21087483840 is an apocalyptic number.

1087483840 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 1087483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302791400).

1087483840 is an abundant number, since it is smaller than the sum of its proper divisors (1518098960).

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

1087483840 is a wasteful number, since it uses less digits than its factorization.

1087483840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21029 (or 21019 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 1087483840 is about 32977.0198774844. The cubic root of 1087483840 is about 1028.3499643712.

The spelling of 1087483840 in words is "one billion, eighty-seven million, four hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 163 320 326 652 815 1304 1630 2608 3260 5216 6520 10432 13040 20849 26080 41698 52160 83396 104245 166792 208490 333584 416980 667168 833960 1334336 1667920 3335840 3398387 6671680 6796774 13593548 16991935 27187096 33983870 54374192 67967740 108748384 135935480 217496768 271870960 543741920 1087483840