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1085860608 = 28373753103
BaseRepresentation
bin100000010111000…
…1110101100000000
32210200020102201120
41000232032230000
54210440014413
6255425432240
735623443240
oct10056165400
92720212646
101085860608
11507a38168
1226379b680
13143c6cc91
14a42dbb20
15654e1723
hex40b8eb00

1085860608 has 288 divisors, whose sum is σ = 3489647616. Its totient is φ = 293289984.

The previous prime is 1085860597. The next prime is 1085860631. The reversal of 1085860608 is 8060685801.

It is a super-2 number, since 2×10858606082 = 2358186520012259328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1085860608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10542285 + ... + 10542387.

It is an arithmetic number, because the mean of its divisors is an integer number (12116832).

Almost surely, 21085860608 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 1085860608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744823808).

1085860608 is an abundant number, since it is smaller than the sum of its proper divisors (2403787008).

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

1085860608 is a wasteful number, since it uses less digits than its factorization.

1085860608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 1085860608 is about 32952.3991235843. The cubic root of 1085860608 is about 1027.8380542987.

The spelling of 1085860608 in words is "one billion, eighty-five million, eight hundred sixty thousand, six hundred eight".