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1085435440 = 24564321101
BaseRepresentation
bin100000010110010…
…0110111000110000
32210122102211111121
41000230212320300
54210332413230
6255412352024
735620022545
oct10054467060
92718384447
101085435440
11507777791
12263615614
13143b515bb
14a422abcc
156545a77a
hex40b26e30

1085435440 has 40 divisors (see below), whose sum is σ = 2527681968. Its totient is φ = 433478400.

The previous prime is 1085435413. The next prime is 1085435459. The reversal of 1085435440 is 445345801.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1085435396 and 1085435405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40890 + ... + 61990.

Almost surely, 21085435440 is an apocalyptic number.

1085435440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1085435440 is an abundant number, since it is smaller than the sum of its proper divisors (1442246528).

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

1085435440 is a wasteful number, since it uses less digits than its factorization.

1085435440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21757 (or 21751 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The square root of 1085435440 is about 32945.9472469680. The cubic root of 1085435440 is about 1027.7038870169.

The spelling of 1085435440 in words is "one billion, eighty-five million, four hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 643 1286 2572 3215 5144 6430 10288 12860 21101 25720 42202 51440 84404 105505 168808 211010 337616 422020 844040 1688080 13567943 27135886 54271772 67839715 108543544 135679430 217087088 271358860 542717720 1085435440