Search a number
-
+
1073040528 = 24372326037
BaseRepresentation
bin111111111101010…
…100110010010000
32202210010002212210
4333331110302100
54144144244103
6254250552120
735406460020
oct7775246220
92683102783
101073040528
1150078125a
1225b438640
13141401931
14a2721a80
156430ce03
hex3ff54c90

1073040528 has 120 divisors (see below), whose sum is σ = 3312301888. Its totient is φ = 293204736.

The previous prime is 1073040511. The next prime is 1073040547. The reversal of 1073040528 is 8250403701.

It is a junction number, because it is equal to n+sod(n) for n = 1073040495 and 1073040504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174726 + ... + 180762.

Almost surely, 21073040528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1073040528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656150944).

1073040528 is an abundant number, since it is smaller than the sum of its proper divisors (2239261360).

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

1073040528 is a wasteful number, since it uses less digits than its factorization.

1073040528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6101 (or 6072 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 1073040528 is about 32757.2973244131. The cubic root of 1073040528 is about 1023.7770154523. Note that the first 3 decimals are identical.

The spelling of 1073040528 in words is "one billion, seventy-three million, forty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 529 552 644 966 1058 1104 1288 1587 1932 2116 2576 3174 3703 3864 4232 6037 6348 7406 7728 8464 11109 12074 12696 14812 18111 22218 24148 25392 29624 36222 42259 44436 48296 59248 72444 84518 88872 96592 126777 138851 144888 169036 177744 253554 277702 289776 338072 416553 507108 555404 676144 833106 971957 1014216 1110808 1666212 1943914 2028432 2221616 2915871 3193573 3332424 3887828 5831742 6387146 6664848 7775656 9580719 11663484 12774292 15551312 19161438 22355011 23326968 25548584 38322876 44710022 46653936 51097168 67065033 76645752 89420044 134130066 153291504 178840088 268260132 357680176 536520264 1073040528