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1083381312 = 263133711731
BaseRepresentation
bin100000010010011…
…0001011001000000
32210111120110202210
41000210301121000
54204321200222
6255300342120
735563406046
oct10044613100
92714513683
101083381312
115065a4462
122629a4940
131435b2640
14a3c54396
15651a1d0c
hex40931640

1083381312 has 112 divisors (see below), whose sum is σ = 3170643392. Its totient is φ = 324311040.

The previous prime is 1083381301. The next prime is 1083381317. The reversal of 1083381312 is 2131833801.

It is a self number, because there is not a number n which added to its sum of digits gives 1083381312.

It is not an unprimeable number, because it can be changed into a prime (1083381317) 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, 86487 + ... + 98217.

It is an arithmetic number, because the mean of its divisors is an integer number (28309316).

Almost surely, 21083381312 is an apocalyptic number.

1083381312 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 1083381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585321696).

1083381312 is an abundant number, since it is smaller than the sum of its proper divisors (2087262080).

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

1083381312 is a wasteful number, since it uses less digits than its factorization.

1083381312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11796 (or 11786 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1083381312 is about 32914.7582704172. The cubic root of 1083381312 is about 1027.0551862506.

The spelling of 1083381312 in words is "one billion, eighty-three million, three hundred eighty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 148 156 192 208 222 296 312 416 444 481 592 624 832 888 962 1184 1248 1443 1776 1924 2368 2496 2886 3552 3848 5772 7104 7696 11544 11731 15392 23088 23462 30784 35193 46176 46924 70386 92352 93848 140772 152503 187696 281544 305006 375392 434047 457509 563088 610012 750784 868094 915018 1126176 1220024 1302141 1736188 1830036 2252352 2440048 2604282 3472376 3660072 4880096 5208564 5642611 6944752 7320144 9760192 10417128 11285222 13889504 14640288 16927833 20834256 22570444 27779008 29280576 33855666 41668512 45140888 67711332 83337024 90281776 135422664 180563552 270845328 361127104 541690656 1083381312