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1305880812 = 2233371731889
BaseRepresentation
bin100110111010110…
…0010100011101100
310101000020121201000
41031311202203230
510133301141222
6333325320300
744234542455
oct11565424354
93330217630
101305880812
11610154645
12305406090
1317a716952
14c561212c
15799a29ac
hex4dd628ec

1305880812 has 96 divisors (see below), whose sum is σ = 3499070400. Its totient is φ = 420857856.

The previous prime is 1305880801. The next prime is 1305880831. The reversal of 1305880812 is 2180885031.

1305880812 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 690364 + ... + 692252.

It is an arithmetic number, because the mean of its divisors is an integer number (36448650).

Almost surely, 21305880812 is an apocalyptic number.

1305880812 is a gapful number since it is divisible by the number (12) 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 1305880812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749535200).

1305880812 is an abundant number, since it is smaller than the sum of its proper divisors (2193189588).

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

1305880812 is a wasteful number, since it uses less digits than its factorization.

1305880812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1305880812 is about 36136.9729224793. The cubic root of 1305880812 is about 1093.0361195972.

The spelling of 1305880812 in words is "one billion, three hundred five million, eight hundred eighty thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 173 222 333 346 444 519 666 692 999 1038 1332 1557 1889 1998 2076 3114 3778 3996 4671 5667 6228 6401 7556 9342 11334 12802 17001 18684 19203 22668 25604 34002 38406 51003 57609 68004 69893 76812 102006 115218 139786 172827 204012 209679 230436 279572 326797 345654 419358 629037 653594 691308 838716 980391 1258074 1307188 1887111 1960782 2516148 2941173 3774222 3921564 5882346 7548444 8823519 11764692 12091489 17647038 24182978 35294076 36274467 48365956 72548934 108823401 145097868 217646802 326470203 435293604 652940406 1305880812