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1083215056 = 247113372609
BaseRepresentation
bin100000010010000…
…1000110011010000
32210111021000201011
41000210020303100
54204300340211
6255253020304
735562114250
oct10044106320
92714230634
101083215056
115064a0560
12262924694
13143554a71
14a3c0d960
156516c921
hex40908cd0

1083215056 has 80 divisors (see below), whose sum is σ = 2625367680. Its totient is φ = 420618240.

The previous prime is 1083215041. The next prime is 1083215059. The reversal of 1083215056 is 6505123801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1083215059) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 413880 + ... + 416488.

It is an arithmetic number, because the mean of its divisors is an integer number (32817096).

Almost surely, 21083215056 is an apocalyptic number.

1083215056 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 1083215056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312683840).

1083215056 is an abundant number, since it is smaller than the sum of its proper divisors (1542152624).

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

1083215056 is a wasteful number, since it uses less digits than its factorization.

1083215056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 1083215056 is about 32912.2326194988. The cubic root of 1083215056 is about 1027.0026461705.

Adding to 1083215056 its reverse (6505123801), we get a palindrome (7588338857).

The spelling of 1083215056 in words is "one billion, eighty-three million, two hundred fifteen thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 337 616 674 1232 1348 2359 2609 2696 3707 4718 5218 5392 7414 9436 10436 14828 18263 18872 20872 25949 28699 29656 36526 37744 41744 51898 57398 59312 73052 103796 114796 146104 200893 207592 229592 292208 401786 415184 459184 803572 879233 1607144 1758466 3214288 3516932 6154631 7033864 9671563 12309262 14067728 19343126 24618524 38686252 49237048 67700941 77372504 98474096 135401882 154745008 270803764 541607528 1083215056