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1073534385 = 357211212071
BaseRepresentation
bin111111111111001…
…101010110110001
32202211001012022210
4333333031112301
54144311100020
6254305322333
735413614600
oct7777152661
92684035283
101073534385
11500a89300
1225b6363a9
13141545661
14a280da37
15643a93e0
hex3ffcd5b1

1073534385 has 72 divisors (see below), whose sum is σ = 2196427968. Its totient is φ = 446107200.

The previous prime is 1073534347. The next prime is 1073534393. The reversal of 1073534385 is 5834353701.

It is not a de Polignac number, because 1073534385 - 210 = 1073533361 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 82900 + ... + 94970.

It is an arithmetic number, because the mean of its divisors is an integer number (30505944).

Almost surely, 21073534385 is an apocalyptic number.

1073534385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1073534385 is an abundant number, since it is smaller than the sum of its proper divisors (1122893583).

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

1073534385 is a wasteful number, since it uses less digits than its factorization.

1073534385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12115 (or 12097 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 1073534385 is about 32764.8345791643. The cubic root of 1073534385 is about 1023.9340526708.

The spelling of 1073534385 in words is "one billion, seventy-three million, five hundred thirty-four thousand, three hundred eighty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 121 147 165 231 245 363 385 539 605 735 847 1155 1617 1815 2541 2695 4235 5929 8085 12071 12705 17787 29645 36213 60355 84497 88935 132781 181065 253491 398343 422485 591479 663905 929467 1267455 1460591 1774437 1991715 2788401 2957395 4381773 4647335 6506269 7302955 8872185 10224137 13942005 19518807 21908865 30672411 32531345 51120685 71568959 97594035 153362055 214706877 357844795 1073534385