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1082861440 = 2759717443
BaseRepresentation
bin100000010001011…
…0010011110000000
32210110121001122021
41000202302132000
54204203031230
6255241251224
735556112303
oct10042623600
92713531567
101082861440
11506279911
12262793b14
1314345cb1b
14a3b5ab3a
15650ecc7a
hex408b2780

1082861440 has 64 divisors (see below), whose sum is σ = 2615553360. Its totient is φ = 428654592.

The previous prime is 1082861431. The next prime is 1082861443. The reversal of 1082861440 is 441682801.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1082861396 and 1082861405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1082861443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53359 + ... + 70801.

Almost surely, 21082861440 is an apocalyptic number.

1082861440 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 1082861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307776680).

1082861440 is an abundant number, since it is smaller than the sum of its proper divisors (1532691920).

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

1082861440 is an equidigital number, since it uses as much as digits as its factorization.

1082861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17559 (or 17547 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 1082861440 is about 32906.8600750664. The cubic root of 1082861440 is about 1026.8908788623.

The spelling of 1082861440 in words is "one billion, eighty-two million, eight hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 128 160 194 320 388 485 640 776 970 1552 1940 3104 3880 6208 7760 12416 15520 17443 31040 34886 62080 69772 87215 139544 174430 279088 348860 558176 697720 1116352 1395440 1691971 2232704 2790880 3383942 5581760 6767884 8459855 11163520 13535768 16919710 27071536 33839420 54143072 67678840 108286144 135357680 216572288 270715360 541430720 1082861440